{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c982abca",
   "metadata": {},
   "source": [
    "# Interpretability 2: Advanced MultKAN"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b9ec6c4",
   "metadata": {},
   "source": [
    "In the last tutorial, we introduced multiplications to KANs which makes interpretation easier in the case when multiplications are needed. Multiplication nodes by default takes in two numbers, but can take more variables specified by the user. This is done through the mult_arity argument (by default mult_arity=2)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8f94f0f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cuda\n",
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 30 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import *\n",
    "\n",
    "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
    "print(device)\n",
    "\n",
    "model = KAN(width=[2,[3,2],1], device=device)\n",
    "x = torch.randn(100,2).to(device)\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20be6142",
   "metadata": {},
   "source": [
    "mult_arity=3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5fbe4670",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,[3,2],1], mult_arity=3, device=device)\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f76b85cc",
   "metadata": {},
   "source": [
    "mult_arity=4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3f9fa6c9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 42 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,[3,2],1], mult_arity=4, device=device)\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae15bae4",
   "metadata": {},
   "source": [
    "You may want different multiplication nodes to take in different number of variables. This is also possible: pass in mult_arity as a list of lists, specifying the arities in each layer, including input layer, hidden layer(s), and output layer."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f81c620",
   "metadata": {},
   "source": [
    "In the following example, we have 0 multiplications in the input or in the output layer, corresponding to empty lists. In the hidden layer, we have two multiplications with arity = 2 and arity = 3, so we have the list [2,3] in the middle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1cbc4656",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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/HxqNBpGRkXyoa+nSpYK2WBESi8UCtVoNo9EIT09PBAUFuTwsZy2jQVw4GIZBc3MzmpubIRaLkZqa6rZVXIQQtLS09GlNQwhBTEwM3y0gNTXV7QSSMjRUXEYBBoMBBQUF/K74yspKSCQSzJ49m98Vn5eX59Yhhf6bIAMDA90mZGMto0lcOIxGI+rr69HR0QF/f3+kp6e77cKDQ6/Xo6qqihcblUoFLy+vPq1pRsv1v5Sh4uKGEEJQW1vLi8mhQ4eg1+sRHx/Pi8miRYtGTdigd3NJbhKkO66gh2M0iguHWq1GbW0tlEolwsLCkJ6ePiqmV3Ktabh9NfX19WBZFhEREX1a04wW7/dSgoqLm6DRaHDw4EG+squ+vh5eXl6YO3cunzvJyckZVQ/l3s0l3WETpL2MZnHhkMlkqK2thcFgQGxsLFJTU0fVg9lgMPCtacrLy6FUKuHh4YG0tDTk5OQgKysLkZGRo+o+GatQcXERhBCcP3+eF5PCwkKYTCakpqbyYrJgwQKntPgQGrPZDLVazTeXDAoKGhPx8rEgLsCFEGVraysaGxsBAMnJyYiPjx91wk8IQVdXF+/V1NXVwWKxIDQ0lPdqMjIynN6DjnIBKi5OpKenB/v27eMFpbW1Fb6+vli4cCGfjE9PTx+1qy6WZaFWq6HX6+Hh4YHAwMAxdWOPFXHhMJvNaGhoQFtbG7y9vZGeno7IyEhXm2UzZrMZtbW1vNjIZDK+mIETG3smfVJGBhUXB8KyLM6cOcOLydGjR8EwDLKzs3kxmTt3rltuGBwJ/TdBcnmVscZYExcOnU6H2tpayOVyBAcHIyMjY0xsbpTL5X1a05jNZgQFBfVpTTPa7z13hoqLwMjlcuzZs4dvsdLZ2YmAgIA+LVaSk5NdbaZg9G4uyW2CHG3hFWsZq+LCoVAoUFNTw08PTUtLGzOep8Vi6dOapqOjAyKRCMnJyX1a01CvRjiouNgJwzAoLi7m952cPHkShBDk5eXx3sns2bPdqkeWEPRuLjlaNkHay1gXF+CCF9re3o6GhgZYLBYkJSUhMTFxzH23SqWS38BZVVUFg8EAf3//Pq1pRmO+052g4mIDUqmUb7GyZ88efsZG7xYrsbGxrjbTIfRuLunp6YnAwMAxJ5yDcSmIC4fFYkFTUxNaWlr4aqzo6OgxubJnGIZvTVNRUYHW1laIRCIkJCTwXk1SUtKY9cgdBRUXKzCbzTh27BjvnZw5cwYikQjTpk3j951MmzZtTFREDQYhhN8E6c7NJR3JpSQuHAaDAXV1dejs7ERgYCDS09MREhLiarMcilqt7tOaRqfTwdfXl29Nk5WVNWr2mLkSKi6D0NzcjN27d+OPP/7Avn37oFarERERgaVLl/LeiaPHzboLvTdBuntzSUdyKYoLR09PD2pra6FSqRAREYH09PRLYnHBsmyf1jRNTU0ghCA2NrZPa5qxFjYUAiou/4fRaERhYSG/K768vBxisRizZs3ivZPJkydfUq5x7+aSvr6+CAgIuKRvoktZXIAL3mtnZyfq6upgMpmQkJCA5OTkMe2x90en0/VpTaNWq+Ht7d2nNY27t9dxFpe0uNTV1fFicvDgQeh0OsTGxvZpsRIaGupqM51O7+aSXl5eCAwMHFW7uB3FpS4uHCzLorm5GU1NTfyI47i4uEvOm+WKH7hcDTcZNDIykt9Xk5aWdsneO5eUuOh0uj4tVmpra+Hp6Yk5c+bwu+InTJhwyd0kHGOhuaQjoeLSF5PJhPr6erS3t8PPzw/p6emX9HXhWtOUl5ejsrKSb03T26uJiIi4ZJ4vY1pcCCGoqKjgxaSgoABGoxHJycm8mCxcuHBMbBizB0IIn1cBMKqbSzoSKi4Do9FoUFtbC4VCgdDQUGRkZIyKppiOhAsh9m5NwzAMwsLC+jTcHCv7iAZizImLSqXC/v37eUFpbm6Gj48PFixYwO87yczMpA/O/6P3Jsix0FzSkVBxGRq5XI7a2lro9XrExsYiJSXlkilTHw6TydSnNY1cLodEIunTmmaslXqPenEhhODs2bO8mBQVFcFisWDcuHG8mMyfP/+SqGwZCb2bS3p7eyMwMPCSSszaAhWX4WFZFm1tbWhoaAAhBMnJyUhISKALln7IZDK+W0BNTQ3MZjOCg4P5fTWZmZmj/pk1qsXFZDJh/PjxaGlpgb+/PxYtWsSXCaemprraPLdFp9NBpVKNyeaSjoSKi/WYzWY0NjaitbUV3t7emDFjxiVdaTgUFosFdXV1vNhIpVKIxWJcc801mDt3rqvNs5lRIS51dXWD/s1isUAsFkMkEl3kUiqVSvz000/4n//5H0eb6HZw0/sG8kYYhoHJZBpyZXSpejEqlWrQv2k0Gpw+fRqTJ0++qDUIIQRVVVWYMWOGo010O/R6/aB/48KuA3Vbtlgs6OrqQlpamiPNc1t27NiBrKysiypSjUYjuru7ERQUNGTuyt332Y0KcbGF9vZ2XHXVVfjpp5+QmJjoanOcDtemRSwWIzAwcEzFcl0FwzDQ6/Xw9fW9aBW+e/duzJ49+5IvDrEWhmFw8uRJTJo06ZKtSFQoFNiyZQvmzJmDSZMmjbl7dEyKS3NzM/785z/j999/R3R0tKvNcRmEEJhMJmg0GoSGhtK4t4OQy+U4f/485s+f72pTRgUsy6K4uBgTJkwYk6MZRgLDMPjhhx8QFBSEpUuXjimBGXNPG61Wi6VLl+LAgQOXtLAAgEgkgre3N4KDgyGXy8GyrKtNGnMQQrBz507MmzfP1aaMCgghKCkpQXZ29iUvLAAgkUiwatUqeHt7Y9u2bRhLa/0x5bkQQjBx4kTs378fUVFRrjbHrWAYBt3d3ZfUJi5ncPDgQeTl5V2SnRxGCiEEpaWlSExMpNdrAIqLi3Hu3DncdtttY+IeHVOeyxNPPIG3336bCssASCQShIaGQi6Xj6nVkSvh5tnQB+XwcBuaY2Ji6PUahGnTpmHq1Kn47LPPxsQ9OmbEpa6uDrW1tVi6dKmrTXFbPDw8EBQUBIVCMSZ+vK6EEIKffvoJl19+uatNcXsIIairq0NgYCBd+A1Dbm4upk6diq+++mrU36NjIixGCEFMTAza29tp0toKdDodGIahlU12cOzYMaSkpFzyeT1raGpqgsViuWRLjm3h+PHjaGpqwqpVq0ZtiGxMPInXr1+PX3/9lQqLlfj5+YFlWRgMBlebMiqRSqVQqVRUWKygvb0der2ebmoeITNnzkRYWBh27drlalNsZtQ/jc+fPw+5XI7p06e72pRRRVBQEDQaDSwWi6tNGVX09PSgoKAAS5YscbUpbo9UKoVCocC4ceNG7erblSxatAh6vR7Hjh1ztSk2MarDYmazGSkpKWhpaaE/XhsghKCrqwsRERHU67MCmUyGgoICrFix4pLtYGAtnZ2d6OzsvKRHWAgBIQRffPEFZs2ahezsbFebMyJG7ROFEIJFixahsLCQ/nhtRCQSISIiglaQDQMhBNXV1Thx4gQVFivo6OigwiIQIpEIt912G/bs2YOWlhZXmzMiRqXnYrFYcMcdd+DGG2/En//8Z1ebM+oxm81QqVQICwujD4NeEEKg1Wpx/PhxhISEXHJjrkcKIQStra3QaDTIysqivyUBYRgGb775Ju66665R0zR1VIkLIQRlZWX429/+hnvuuQcrV650tUljBqPRCI1GQwXm/9Dr9SgrK4NCocC0adMQGhpKr8sQEEJQW1sLkUiEtLQ0eq0cgMlkwptvvokHHngAQUFBrjZnWEaFuHR1deHw4cPYvn07fHx88N///d9ISkpytVljDk5gLuU+ZEajEWVlZZDJZBg/fjzi4+Ppg3IYzGYzzp8/j+jo6DE38Mrd0Ov1ePvtt/HII4+4/byXUSEua9euRXp6Oq666iqbOhzHxsY6wCr3hmEYm95nsVhgNBpHxcrIERQWFiI8PNzmAVeXYr+smpoahIaGXjSGwFou1XlCQ413GAq1Wo1Tp07h6quvFtgiYRkV4tLc3Dzk3wkhQ66WLtWW+4NBCIHFYoGHh8eg1+1SHeyk0WgG/RvLsnzL/cGEx9YH7GhmqP1S3H4qHx+fQa/ZpdpyX6lUDvo3hmGg0+ng5+c36L0YEhLiGMMEYlSIy1CUlJQgPz8fRUVFmDJliqvNGRWYzWbI5XKEh4fD09PT1eaMGugkypGjVqtRXFyMadOm0Y4QI6C1tRVvvfUWHn30UcTHx7vaHJu4NAPrFAqFQnEoVFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBQKhSI4VFwoFAqFIjhUXCgUCoUiOFRcKBSKQ2EYBhaLBYQQV5syamAYBizLjupr5uFqAygUytiDEILS0lJ89tlnKCwshI+PD1JSUnDttddi+fLl8PX1dbWJbgd3zTZv3oxjx46hoaEBzc3NuPnmm0flNRvVnotUKsWWLVtgsViwZcsWSKVSV5vk9kilUrz//vv4xz/+gffff59eMyuRSqX497//je3bt+Pf//43vW5DYLFY8O677+Lmm29GcHAw3njjDbz99tu4+uqr8eWXX+K2225De3u7q810K7hrtnbtWvj6+uLFF1/E9u3bceONN+KLL74YndeMjEIYhiFPPvkk8fDwICKRiAAgIpGIeHh4kCeffJIwDONqE92O/tes9/+l12xw+l83iURCr9swfPrpp2Ty5Mlk37595MSJE4RlWcKyLJFKpeSXX34hL7/8Mlm1ahXRarWuNtVt2LRpE5kxY8ag1+yll14i11133ai6ZqNSXJ588kkCYNB/Tz75pKtNdDvoNbMNet1GRmdnJ4mLiyO//PILWbFiBYmJiSG///47aW9vJ8uXLydBQUFk+/btZO3atWTLli2uNtct6OzsJHl5eWTHjh1DXrM1a9aMqms26sSlo6ODeHh4DHnDe3h4kI6ODleb6jbQa2Yb9LqNnM8//5wsWrSIaDQa8uyzzxJPT08SFRVFZsyYQUQiEZk1axapr68ne/fuJTfeeCP1/AghP/30E1myZMmw12z37t3kmmuuGTXXbNTlXLZt2waWZYd8Dcuy2LZtm5Mscn/oNbMNet1Gzvbt2zF+/Hj4+fnh73//O9avX4/Ozk6cOHEC2dnZ2Lx5M5KTk5GRkQGpVAqz2exqk11OdXU1srOzh71m48aNQ1VV1ai5ZqNOXKRSKSQSyZCvkUgkNOHaC3rNbEMqlUIkEg35Gnrd+tLd3Q2j0QgAUCqVKC8v5/8ml8tRXV0NADCbzRCLxcNe30sBLy8vq6+ZxWIZNdds1IlLdHQ0GIYZ8jUMwyA6OtpJFrk/0dHRsFgsQ76GXrO+HDp0CN9//z39rVlBZ2cnPvzwQyxYsACHDx/GiRMn0NbWhrvuugu7du3CrFmzsH79eigUCtx+++04cOAATpw4gXHjxsHLy8vV5ruUpqYmHD16FMePHx/2mh0/fhxRUVGj55q5Oi43UmgcfOQUFhYOeb3oNbsAy7Lkt99+I/PmzSMAyIQJE4hYLKbXbQC6u7vJp59+SpYuXUrEYjHx8PAgl112GcnOziYSiYS8/fbb5Pbbbyf5+fmkrq6OGAwG8uyzz5KEhATy7bffkssuu4wcOnTI1R/DJbAsS/bt20euu+46IhaLSWBgIImLixv2ms2YMYP8+OOPrjbfakaduBBCK3hGwq+//kqCg4NJWFgYvWaDwDAM2b59O5k2bRoBQGbNmkV++eUXwrIs/a31Qq1Wk6+//ppcffXVxNPTk4hEIrJo0SLy0UcfkTfeeIMEBgaS+Ph4smjRIhIaGkr+9a9/kaamJr6sVq/Xkz179pBVq1aRZ599llgsFld/JKei0WjIRx99RCZOnEgAkPHjx5MPP/yQ9PT0kKuvvnrIa7Zy5UoyZ86cUXXNRqW4mM1mEhwcTEQiERGLxcTT05NfPdG9BxdgWZa89NJLRCQSkRUrVpDu7m5+vwa9Zhcwm83kq6++IhMmTCAAyKJFi8iePXsIy7L8a3rvc7kUr5teryfbt28nN954I/H19SUASH5+PnnnnXdIW1sbqa2tJYsXLyYAyN13302USiVhGIbccsstxNPTkyxcuJA8//zz5M033yT33nsvycrKIq+99hoxGAyu/mhOo7a2lvz1r38lISEhRCwWk2uvvZbs3buXF5D169cTkUhEnn32WZKcnHzRNYuPjyeXXXYZ0el0rv4oI2JUisuvv/5KAJCdO3eSd955hzzzzDPknXfeuSTDEwOhVqvJqlWrCADy3//9330egB0dHZf8NTMajeQ///kPSU9PJwDIn/70J1JYWDjkey6l62YymcjOnTvJbbfdRgIDAwkAMmXKFPLqq6+S+vp6QsgF0X3nnXeIn58fSU5OJrt27broODU1NeQvf/kLueyyy8gVV1xB3n33XdLQ0NBHvMcqDMOQ33//nVx11VVEJBKRsLAw8re//Y2/foRcWAD+9a9/JQDIv//9b0IIISqVimzdupWsWLGCzJ07l8TGxpIJEyaMyms2KsXlqquuIlOnTh2VF9zR1NTUkIkTJ5KAgADyww8/uNoct0Kr1ZJ33nmHJCQkEJFIRK6//npy6tQpV5vlFlgsFrJv3z5y77338iHU7Oxs8vzzz5OKioo+r62srCRz584lAMiGDRuIWq12kdXuR09PD3n33XfJuHHjCAAyadIk8sknnwzodTz77LMEAHnvvfcGPd5PP/1EAJATJ0440myHMOrEpa6ujohEIvLJJ5+42hS34/fffychISEkMzOTlJWVudoct6Gnp4e88sorJCoqikgkEnLrrbeS8+fPu9osl8OyLDly5Ah56KGHSExMDAFAUlJSyFNPPUVOnz590eLNbDaT1157jfj4+JCMjAxy8OBBF1nufpSXl5P169eTgIAAIpFIyI033kgOHz486AL4xRdfJADI66+/PuRxLRYLSUpKInfddZcjzHYoo05cnnzySRISEjKqeuw4GpZlyauvvkrEYjG58soriUKhcLVJboFcLifPPfccCQ0NJV5eXuTee+8ltbW1rjbLpbAsS0pKSsiTTz5JkpOTCQASGxtLHnnkEXL06NFBH4alpaVkxowZRCwWk8cee4zef+TCg//nn38mS5cuJQBIVFQU+fvf/05aWlqGfN9rr71GAJD//d//teo8L7/8MvHx8SHd3d1CmO00RpW46PV6Eh4eTh599FFXm+I2aDQasnr1agKAPPPMM6OqmsRRtLe3kyeeeIIEBAQQX19f8sgjjwx7w491ysvLyXPPPUeysrIIABIeHk7uv/9+cuDAgSF/MyaTibzwwgvE09OT5OTkkKKiIida7Z50d3eT119/naSmphIAZObMmeTLL7+0qkjh3XffJQDIf/3Xf1l9PqlUSjw9Pckbb7xhj9lOZ1SJyxdffEEAkMrKSleb4hbU1dWRvLw84u/vT7799ltXm+NyGhsbyYYNG4iPjw8JDAwkTz/9NJFKpa42y2XU1dWRf/zjH2TSpEkEAAkKCiK33347+e2334jJZBr2/adOnSKTJk0iEomEPPvss5dUhddAnD17ltxzzz3E19eXeHp6krVr15Jjx45Z/f6PP/6YACCPP/74iPPFN998M8nIyBhV1YmjSlxmz55Nli5d6moz3ILdu3eTsLAwkpaWRkpLS11tjkuprq4m69atI56eniQsLIy88MILoy6EIBStra3krbfeIrNmzSIAiK+vL1m9ejX54YcfiF6vt+oY3OY9iURCJk2adEkXPZjNZvLdd9+RhQsXEgAkLi6OvPjiiyOuFvzss8+ISCQiGzZssKkQqaCggAAgf/zxx4jf6ypGjbgUFxcTAKNqh6ojYFmWvP7660QsFpNly5YRuVzuapNcRmlpKVmzZg0Ri8UkJiaGvP7665dk5VJXVxf56KOPyMKFC4lIJCJeXl7kmmuuIVu2bBnx9Th69CjJyckhnp6e5IUXXiBGo9FBVrs3nZ2d5KWXXiIJCQkEAJk3bx7Ztm2bVR5ff7Zs2ULEYjG55557bPY8WJYlkyZNItdcc41N73cFo0Zc1q1bRxITE4nZbHa1KS5Dq9WSm2++md8ZfqnmV06cOEGuvfZaAoAkJSWRDz74wOpV+VhBqVSSzz77jCxfvpxIJBIikUjIsmXLyMaNG20q6NBqteSxxx4jYrGYzJgx45L1hk+ePEluv/124u3tTXx8fMi6detISUmJzcfbvn07X6Fob0jr448/JmKxmDQ2Ntp1HGcxKsSlu7ub+Pr6Wl1dMRZpaGggU6ZMIb6+vmTr1q2uNsclHDp0iFxxxRUEAMnMzCQbN260aSU5WtFoNGTr1q3k2muvJV5eXkQkEpEFCxaQDz/80K7c0sGDB0lGRgbx9vYmr7322iW3gDMajeTrr78ms2fPJgBIcnIyefXVV4lMJrPruDt27CCenp5k9erVglxTtVpNgoKCyDPPPGP3sZzBqBCXt956i3h6eo7pXdFDsW/fPhIREUFSUlLI6dOnXW2OU2FZlvzxxx9k/vz5BADJzc0lW7duvWS8NoPBQH788Udy0003ET8/P7466c033yTNzc12HVutVpMNGzYQAGTu3LkXbZYc67S1tZHnnnuO3+Nz+eWXkx9//FGQ39auXbuIt7c3ufbaawVdAD300EMkKipqVBRXuL24MAxDMjMzyZo1a1xtitNhWZa8/fbbRCKRkMsvv9zuldRogmEY8sMPP5Dp06fzD9SffvppVFXL2IrZbCZ//PEHufPOO0lwcDABQPLy8sjLL78s2D6d3bt3k5SUFOLn50feeeedS0asWZYlhYWFZM2aNcTDw4P4+/uTv/zlL4JuOj5w4ADx9fUlf/rTnwQXgfLycgKAfP3114Ie1xG4vbjs2rWLACCHDx92tSlORafTkdtuu40AII899tglE6qwWCxk8+bNfOfYhQsXkt27d4/5Vj8Mw5CDBw+Sv/zlLyQiIoIP/f39738X9MGnVCrJ3XffzTfqvFQ2ler1erJp0yYydepUAoBkZGSQt956S/ANx4WFhcTf358sWbLEYXnAxYsXk7lz5zrk2ELi9uJy7bXXktzc3DH/cOlNU1MTmTZtGvHx8RkVKxQhMBqN5JNPPiEZGRkEALnyyitJQUGBq81yKCzLkmPHjpFHH32UxMfHEwAkMTGRPPHEE6S4uFjw3/yOHTtIfHw8CQwMJB9//PElcU81NjaSp59+mhfsK6+8kuzcudMhHvCJEydIUFAQWbBgAdFoNIIfn+O7774jANw+RO7W4tLU1ETEYjH56KOPXG2K0zh48CCJjIwkSUlJpLi42NXmOBydTkfee+89kpiYSACQ6667jpw8edLVZjkMlmXJmTNnyNNPP83v8I6OjiYPPvggKSwsdMhDTy6Xk7Vr1xIAZPny5aSpqUnwc7gTLMuS/fv388O4goKCyMMPP0yqqqocds7Tp0+T0NBQMnv2bKJSqRx2HkIuhE3j4uLIfffd59Dz2Itbi8uzzz5LAgMDL4m9CyzLkvfff5+f6NfZ2elqkxyKSqUir732GomOjiZisZjccsst5Ny5c642y2FUVlaSF154geTk5BAAJDQ0lNxzzz1k7969Ds13fP/99yQ6OpqEhISQzz77bEx7KxqNhnz88cckNzeXACA5OTnkww8/dPjzo6ysjERERJBp06Y5ra/f//zP/xB/f3+iVCqdcj5bcFtxMRqNJCoqimzYsMHVpjgcvV5P7rrrLgKAPPzww2O6vLa7u5s8//zzJDQ0lHh6epJ77rmH1NTUuNosh9DQ0EBee+01Ps4fEBBA1q5dS3bs2OHwzYlSqZTccMMNBAC55pprSFtbm0PP50r6D+O65pprLhr65igqKytJTEwMycvLc2rBTVtbG/Hw8CDvvvuu0845UtxWXLZs2UIAjPnW6C0tLWTmzJnE29ubfP755642x2F0dHSQJ598kgQGBhIfHx/y0EMPjcnwTHt7O3n33XfJnDlzCADi4+NDrr/+evLdd985ZZIgy7Lk66+/JuHh4SQiIoJs3bp1THorDMOQP/74g6xYsWLQYVyOpra2lsTHx5OcnByX9LC78cYbSXZ2ttt+v24rLvPmzSOLFi1ytRkOpaCggERHR5OEhIRROQzIGpqbm8lDDz3EN5N88sknx9x+JZlMRv7973+TxYsX86OQV6xYQb766iuHx99709raSq6++moCgKxevXpMhla5YVxcd2duGJezRwA0NjaSlJQUkpGR4TKv8MCBAwQA2bt3r0vOPxxuKS5nzpwhAMZ0p9+PPvqIeHp6kvnz54+5hy0hFyZi3n333cTT05OEhoaS//mf/xlTzSRVKhX58ssvyVVXXUU8PDyIWCwmS5YsIZ988onT+72xLEs2btxIgoODSUxMDNm+fbtTz+8MKioqyIYNG/hhXDfccAM5dOiQS1btra2tJCMjg6SkpLjU+2ZZlowfP56sWrXKZTYMhVuKy/3330/i4uLGZO7BYDCQe+65hx8RO9Y+47lz58gtt9xCxGIxiY6OJq+99ppTV++ORKfTkW+//ZasWrWK+Pj48Dvb33vvPdLe3u4SmxoaGsiyZcsIAHL77bePqUam3DAu7vNFRUWR//qv/3LpbB6pVEqys7NJQkICqaurc5kdHO+//z6RSCRuOa/I7cSlp6eH+Pv7k+eff97VpghOW1sbyc/PJ15eXuTTTz91tTmCUlxcTK677jp+r8b777/vlByDozEajeSXX34ht9xyCwkICCAAyLRp08g///lPlzYQZBiGfPjhhyQgIIAkJCSQnTt3uswWoeGGcaWlpREAZMaMGeSLL75wecsTmUxGcnNzSUxMjEPLmkdCT08PCQgIIM8995yrTbkItxOX9957j0gkEtLa2upqUwSlqKiIxMbGkri4OHL06FFXmyMYhw8fJsuXL+d3PX/66aejvk27xWIhe/bsIXfffTcJDQ0lAMj48ePJiy++6BYPlZqaGnLZZZcRAOS+++4jPT09rjZJEM6ePUvuvfde4ufnZ9MwLkeiUCjI1KlTSWRkpKAdE4TgL3/5C4mNjXW7KIjbiIvFYiEmk4lkZ2eT66+/3tXmjBiLxULMZvOAMeD//Oc/xMvLi8yZM8dl4RNrGOoz9IZlWbJr1y5+gNLEiRPJ5s2bXd6ixlr7B4JhGFJQUEA2bNhAoqOjCQCSlpZGnn32Wae1nx/OfovFQt566y3i6+tLUlNTyZ49e5xi10gY6Xcw0DCuF154wWV5yIHsV6lUZNasWSQsLIycOXPGJXYNxdmzZwkA8s033xBC7LsPhMQDLoQQgtLSUmzevBmnT59GV1cXKisrsWbNGuj1evj6+rrSvGHpb7/JZEJiYiKuvfZaLF++HBKJBI888gj+9a9/4f7778c777wDLy8vV5vdh+E+Q+/vgGVZ7NixAy+99BKOHz+O6dOn48cff8TVV18NsVjs9vYP9N5Tp05h69at2LZtG5qbmxEfH49bbrkFN910E6ZPnw6RSOQW9ldUVOCuu+7C0aNH8eCDD+Kll15CQECAQ22zFlu+A5lMhv/85z/417/+hebmZsybNw/btm3DypUr4enp6Tb2z58/H9dddx3Ky8uxb98+5OXlOdU2a8jNzcW8efPw2muvobi4eMT3gaMQEUKI088KwGKx4IMPPsCnn36KVatWYdasWfDy8oJUKsW3334LiUSCd999F7Gxsa4wb1gGs7+zsxPffPMNLBYLpFIpSkpK8MEHH+Cee+5xtckXMdxn4L6DqKgofPvtt3j55ZdRWlqKBQsW4Nlnn8XSpUsd/vAVwv7+v6GysjJs3boVW7duRU1NDSIjI3HDDTfgpptuwty5c50mlNbY/+abb+Lrr7/G888/j+TkZHz66aeYN2+eU+yzhpF+B8XFxXjvvfewdetWiEQi3HzzzdiwYQOmTJnidvZv27YNR48ehUqlwp49e5Cfn+8SG4fDYrFg3bp12L17N+677z6r7wOH4yqXadOmTfzEO4ZhyLp160hqaio5duwY0ev15JVXXiGrVq1yev26tQxn/z/+8Q/i7+/vtjXohFj3HcyYMYNvJnnFFVeQQ4cOudpsnpH8hmpqashLL73EtwYJDg4md911F9m1a5fLwnnW2B8REUFEIhH529/+5pYFEtZ8hpUrV5JNmzaR/Px8fnroK6+84hYjJKy5jy+77DK3fQ4R4r7PUpeIS2dnJ8nLyyMHDx4kLMsShmHINddcQzw8PPiHl9FoJGvXriVbtmxxhYlDYq39t9xyi1vaT4j1n2H16tVk+vTpbrfJ01r7b775Zr7qyN/fn9x8883k559/dnnlkbX233TTTW47gXUkvyEAZPHixeSHH35wm9kxo/05RIh7fwaX5FyKiooQGRmJ5ORk1NTUgGVZaDQaEELQ0tKC6upqiMVirF27Fhs3bsSNN97ospj+QFhr/6233uqW9gPWf4Y777wTGzduxNSpU11tch9G8hs6fPgwtmzZgj//+c/w8/NztekArLf/jjvuwMaNG8Gy7Kj9Dd1xxx3o6enBr7/+6lafYbQ/hwD3/gwuEZfq6mrk5OTgqaeewo4dOwAAer0eDMNg3bp1kEgkCAoKwubNmyGVSmE2m+Ht7e0KUwdktNsPjP7PMBL709LSsHLlylFrvztef2Bkn0Gv17vdZ7jUvgNnfwaXiIuXlxeMRiPi4+ORnZ0NAKipqYFSqURycjICAgIQEBAAkUgEg8EAhmFcYeagjMR+sVjs0qT3YIz2z0Dtdz0Mw8BgMIzKz0AIAcuyo9Z+g8EAqVSK9vZ29/0MTg3C/R8HDx4kM2fOJN3d3cRgMBC9Xk+uvvpq4uHhQfbu3UsMBgMxGAzk66+/Jj4+PiQpKYnccMMN5I033iBFRUUuj5dba/+WLVvI7bffThQKBdFqtcRkMrm89pzj4MGDZMaMGVZ9hpUrV5K2tja3ml+/a9cuq+2/88473ea6E3Khjcy2bdvI9OnTrbLfnYZCdXd3k6KiIrJp0yZyzz33kKlTp46az2AwGEhHRwepqKggx44dIx988MGo+Q40Gg2pra0lR44cIT/++CP5/PPPyeeff05efPFFt/0MLgkgTps2Db6+vvjhhx/g6ekJLy8vPg7I/W+NRoNPP/0Ub7/9Nh577DGIxWK89957WLFiBVJTU7FixQq8/PLL2LdvHzQajVva/5///Ae33norPDw8YDQaoVKpoFAooFKpXOqREUIQGRkJhmGG/Qwff/wx5s6di4KCAvz00084duwYWltbXWa7wWBAY2MjAgMDIRKJhrX/3//+NxYtWoSqqipIpVKYTCaX2M2yLORyOc6fP4+zZ88iLi4OHh4eVl3/BQsWQKFQgLhm1wDkcjmOHDmCjRs34qOPPkJBQQGCg4Nx3333ISAgwKr74JZbbnG63SzLQqFQoL6+HiUlJTh16hTq6+thNpsRFxeHVatWwd/ff1j7P/nkE6fb39PTg6qqKhQUFOD777/H999/j4KCAnR1dSEmJgYLFizA9ddfj0cffdRtP4NLwmL+/v74xz/+gbvvvhteXl5YtWoVMjIyMH36dAQEBKC5uRl/+9vfkJ+fj7vvvhsSiQQPPfQQGIZBeXk5jhw5gqKiInzxxRd48803IZFIkJubizlz5mD27NmYNWsWwsPDHWr/iy++iPvuuw/e3t647rrrBrX/sssug0QiAXAhjGAymWA2m6HVagEAYrEYXl5e8PT0hKenp8PdVoPBgKqqKuh0Ojz33HN4+umnh/wMc+fOxSOPPAKtVouWlha0tLSgqakJHh4eiI2NRUJCAmJiYuDh4difktFohFQqhVKphJeXF7KysvDWW2/hnnvuGdL+OXPm4Prrr4dKpYJSqYRcLoe/vz9CQkIQFBTklOvd2dmJrq4uWCwWBAUFISMjA6GhoXjzzTdx9913D2n/7NmzMX/+fHR0dEAulyMiIgLBwcEOt1smk6GiogIVFRXo6uqCl5cXMjIyMHfuXKSlpfEbHV955ZUhP8MTTzyBoKAghISEgBDicLu1Wi16enqgVCqhUqlACIG3tzdCQkKQnJyM4OBg/n4EwD+HBrP/8ccfx+zZszFnzhyH2UwIgUKhgFQqhVQqRWdnJwwGA0QiEcLDw5GcnIzo6GhERUUNmC8Z7jNwvyNHfoaBcNkmSgAoLCzEypUrMXHiRMyfPx/+/v6oq6tDcXExVq9ejQcffHDI5BMhBLW1tSgqKuL/NTc3AwCys7P5Czp79mzExcUJZjfLslCpVDh+/Dj+93//Fz4+PsjPzx+R/YQQmM1m/h/nCXh4ePBiI/QDu6urC3V1dfDy8sK4cePg7++PwsJCPP300yP6DGq1Gq2trWhuboZSqYREIuGFJjY2VlC7TSYTOjs7oVAo4OHhgaioKISFhfEPqZHYTwjhvUedTgeJRIKQkBCEhoYK2jmBWzF3dnZCpVLBw8MDkZGRiIqKgo+PT5/XWmu/0WiETCaDSqWCl5cXIiMjERQUJJjNANDZ2ckLilwuh7e3NzIzM5GdnY3U1NRBv9ehPsONN96I+fPno6amBrGxsZgzZ46gu8UtFguUSiX/z2w2QywWIzg4GMHBwQgJCRn2fIPZf+zYMYSEhODJJ5/E8uXLBbOZ82J7i4nZbIZEIkFERAQvJJGRkVZ3K+j9GWbPng1/f3/U19db/Sx1BC4VF41Gg/T0dNxyyy2IjIyEXq9HRkYGFi5ciKSkJJtWOS0tLTh69CiOHDmCo0ePoqqqCgCQnJyM/Px8/l9qaqpNxyeEQK1Wg2VZBAUFQavVoqioCMXFxXbZz7Is79WYzWZ+ldfbq7G1hJBhGNTV1UEmkyEqKgopKSl9Vm9qtdrmz6DRaNDa2oqWlhZ0d3dDLBYjJiYGCQkJiIuLs7mVh9lsRmdnJ7q7uyGRSHhRGega2GK/0WjkH0gMw8Df3x+hoaF8uM0W+nspgYGBiI6ORmho6JDf3UjsNxgM6Orqgkajgbe3NyIjIxEYGGiTvQDQ0dGBiooKVFZWoru7Gz4+Phg3bhyysrKQmpra53cyFMN9hvb2dhw5cgSEEOTn5yM+Pt4me7n7T6lUoqenhw+J+/n5ISQkBCEhIQgMDBzxvTKY/VVVVdi7dy/Wrl2LiRMn2mSzxWJBV1cXLyRdXV1gGAaenp6IiopCVFQUoqOjER4ebvX1HuoznDx5EocOHcLUqVNx33332fwstReXisvvv/+OW2+9FcePH0dqaqpDziGTyXD06FFecM6dOweWZREVFcV7Nfn5+cjJybHqB6nRaGA2mxEYGOjQUFBvr8ZisQAAJBJJH6/Gmh+MWq1GdXU1LBYL0tLSEBER4TCbdTodHzqTy+UQi8WIjo7mhcYa74C7EWUyGcRiMSIjIxEREeGw2nx7vRlCCLq7u/t4KREREYiKinJoPye9Xo+uri5otVr4+PggMjLS6l5j7e3tvIeiVCrh6+uLcePGITs7G8nJyXY94IbCYDCgqKgIra2tyM7OxpQpU6w6V++FQE9PDxiGgYeHBy8mwcHBDuvZRwjBli1bUF5ejr/85S9WRUCMRiMvJlKpFHK5nA/PRUdH855Jbw9caH755RfI5XLccccdDjm+NbhUXJ588kns3bsXJ0+edNo51Wo1jh8/zofRSkpKYDKZEBwcjFmzZvGCM2nSpItW3Xq9Hnq9HgEBAU5tQMmybB+xYVkWIpGI92g8PT0vukkJIbxHERAQgMzMTKe6xXq9nhcamUwGkUjUR2j628IwDC8qAHhRcdSDbiCMRiMUCgX/ABvKm+G8FJlMxi82hvKuHIVOp0NnZyff6DUqKuqijaKEELS1tfGColKp4Ofnh6ysLGRnZyMpKcmpNldUVODUqVMIDg7GvHnzEBwc3OfvLMvyeROlUsnnHwICAnhB8ff3d9pq3Gw246OPPoJGo8GGDRsu8hS574DzTBQKBYAL3hQnJtHR0Rd9Tkdy7tw5/Prrr3jwwQddtnHYpeIyY8YMLFq0CK+99pqrTIDBYMCpU6f4MNrx48eh0+ng6+uLGTNm8Hmb3NxcMAwDX19fl3drtlgsfcQG6FsYQAhBTU0NVCoVEhISkJCQ4NIafYPBwAtdV1cXACAqKorP0ajVanR1dYEQgvDwcERGRjq8QGAo+nsz3Co5ODgYWq0WnZ2d6OnpgUQi4XMprv5NaDQadHV1wWAwwN/fHxEREZDL5XzIS61Ww9/fH9nZ2cjOzkZiYqJLfxMKhQIFBQXQaDSYMWMG4uLieDHpn4jnii9c+ZtQqVR47733EBoaijVr1qC7u5v3TNRqNQAgKCiI90qio6Nd2rVaq9Xi/fffx9VXX43x48e7xAaXiUtDQwNmzJiBL774AldeeaUrTBgQs9mM0tJS3rM5evQolEolPDw8kJeXh3nz5mHOnDmYOXOm4AlVW+hfGCCTyVBfXw8vLy9kZ2cjPDzcpTdlfwwGA9ra2tDU1IS6ujr09PQgODgYWVlZyMvLsyt/4AiMRiM6OjpQX18PmUwGDw8PxMXFITU1FeHh4W7VDoRlWZSXl+PEiROoqqoCwzCIiYlBbm4usrOzER8f7zYbAS0WC2QyGQoKClBeXo7w8HDk5eUhPDycFxRXCzZw4f7q6emBVCpFaWkptmzZgpiYGMycORNhYWF9wlzuYG9vNm3ahMjISKxYscIl53eZuGzcuBHPPvssqqqq3O6B0huLxYLi4mKcPHkSJSUlKCoqglQqhUgkwoQJE/rkbSIjI11mJ8uyaGhoQHt7OwIDA5GYmAhyoTGpYIUBQtA7R6HT6WA0GmE0Gvm4dEREBO9tufJm5cpDOS9FJBLBx8eH9ww5byY0NNTp80d6w7IsGhsbUVFRwZeYBwUFITExEeHh4QgNDUVQUBAiIyNd2rqEEAKNRsN7J70T8VqtFlVVVQgICMCCBQsQFRXlUjvlcnmfMJfRaIRIJEJERASUSiUKCgqwcuVKLFmyxGV2WsOBAwdw7tw5rF+//tJK6N92221QKBT45ZdfXHF6q1GpVHxlmFgsBiEEjY2NfBjtyJEjaGhoAABkZGT0qUhLTEx0io06nQ5VVVUwGo1ISUlBdHQ0/zehCgPspffD2mQyITQ0FNHR0XzuymQyoa2tDS0tLZBKpWBZFuHh4bzQOCtubDQa+Yoes9mMgIAAREdH98mlcLkZpVIJlmX5XIA9lWYjgWGYPoKi1+sREhLCh7y4uR3cqpvLCwUHByMiIsJp+cLBEvFciXBISAhvi06n4zcJTpw4EXl5eU67ljKZjA9xcZV+XMiT80wiIiL4CMCuXbuwf/9+3HrrrS4LOVlDY2Mjtm7dijvvvNMlgu0ScTGbzRg3bhweeughPProo84+vdVotVoYjcZh470dHR199tqUl5cDAOLj45Gfn897N5mZmYLfMB0dHWhsbORLSIda7dtSGGAvvcMKRqMRwcHBiI6Ovmi/R2/MZjPa29vR0tKC9vZ2sCyLsLAwXmj8/f0Ft1GpVEIqlfK5FK7iayhR4/Y7KRQK6PV6h3ozDMOgvr4eFRUVqK6uhsFgQFhYGC8ovRcUg30+mUwGi8WCkJAQRERECG4jl4jv6emBQqEYcSKeEIJz587h7NmziIiIwNy5cwXPW3Al7pxnIpPJwLIsvLy8+FxJVFTUkCFPQgi+/vprVFVV4YEHHkBMTIygNgoFwzB45513MHfuXMyaNcvp53eJuBQVFeHPf/4zdu/ejcmTJzv79FZhMBig0+lsqgzr7u7G8ePHee/mzJkzYBgG4eHhyM/P54sEJkyYYPPD3Gw2o7a2FgqFArGxsTZV/AxXGGBvxwBOVAwGA5/sHGmoy2Kx9BEahmEQEhKCxMRExMfH2xVS5UpGuU1sAQEBwz5YBsNgMPCVZpw3ExoayjcNtAWLxYK6ujpUVFSgpqYGRqMR4eHhyMnJQXZ29ojDsJz3yD1QOZGxJyen0+kET8R3dXWhoKAAJpMJs2fPRnJyss32cVV9XIiru7sbhBD4+Pj0qeQKCQkZ0fdkMpnw0UcfQa/XY8OGDYIveITiu+++g8ViwU033eT0c7tEXF566SV88cUXKC8vd6uEKIfZbIZarRasMkyr1eLEiRN8GO3kyZMwmUwIDAzEzJkz+TDalClTrBKynp4efnYD10rEXoTsGKBWq9HR0cGXbcfExAgS1rJYLOjo6OCFxmKxIDg4mPdorCmw4FbxnZ2dfHcBa7wUaxnImwkNDUVISIhVngK3aOAExWw2IzIykvdQhNinxHUQkMvlvFdo7Qa+3jvie3p6YDKZIBaL+RYvQiXiTSYTjh07hsbGRqSnp2PGjBlW/f60Wi0vJJwnCoAPb3KeiRDFOEqlEu+//z4iIiJw9913u1XhDEdxcTH279+Phx9+2Om5QZeIy5IlS5Ceno6PP/7Y2aceFoZhoFKp4Onp6bBSQpPJxBcHFBUV4dixY/yO62nTpvFhtBkzZvRZERFC0NTUhLa2NgQHByMjI8Nh8XNbOgZoNBp0dHRAp9PB39/foeWYDMPwQtPW1sb37eKEpv+eAq6NTFdXF0wmE2+fIyu+rPVmTCYTLyi1tbUwm82Ijo5GdnY2srKyHNYnj2EYdHd3o7u7GwAQFhaGsLCwPiIzVCLenh3x1lJbW4sTJ07Az88P8+bNQ1hYWJ+/q1SqPm1UOPu48CsnJo7yLJqamvDxxx9jypQpWLVqldtU43F0d3fjP//5D66//nqkp6c79dxOFxe5XI6cnBy8++67LnHVhoLLD4hEIqc0NeSwWCw4f/48H0YrKiqCXC6HRCJBXl4e8vPzMX36dH51mZSUJGivNGsYqjCAK4HWarXw9fVFTEyMUysAGYZBZ2cnmpub0dbWxm9q5MJmXGJZIpEgPDzcoQ+bgRjIm/Hz84NMJkNtbS3q6upgsVgQGxvLC4oQ3qi1MAwDuVzOt+/x9/eHWCyGSqUaNhHvDFQqFQoKCqBQKJCWloaQkBDeM+HyOlxZMNdOZaicntCcOnUK33zzDa666irMnz/faee1ln/961/IzMx0enWb08Xl+++/x/3334/S0lK3S4T1rwxzFYQQVFdX82G0w4cPo7W1FSKRCDk5OZg3bx4fSnPFNeQKA1QqFVpbW6FSqeDj44P4+HiEh4c7pDBgJLa1tLSgtLSUr6QKDQ1FTk4OJk6c6ND2N8NhMBhw7tw5nDp1ClVVVbBYLEhOTsbkyZMxdepUp+7g7g2XiJfL5WhsbERnZyfEYjESEhKQlJSE0NBQp+6I720X1+Cxo6MDx48fR2NjI8LCwjB79mwkJSUhOjp6RA0eHcVvv/2GQ4cO4Y477kBWVpZLbenP77//jubmZtxzzz1OPa/TxeXBBx/EmTNncOjQIWeedlisrQxzJr0bTlosFrS2tuLYsWMoKipCTU0NACAlJYUXmjlz5iA5OdkpbeS5eLa3tzfCw8Ph7+/vsMIAa+C8Tq79hkQiQWhoKEQiERQKBVpbW2E0GuHn58eHzhzZ24lDr9ejqqoKFRUVaGhoAMuySEhIwLhx4xATE8NPc/T09OS9Amc8KIdKxPv5+cFsNkOj0fC90kaa8LYFbmNl77JgzmviKrkIIaioqIBYLMacOXOc7sEPBiEEX375JWpra7F+/XqX7tXpT2VlJX788Ufcf//9Tl3AOFVcCCHIzc3F9ddfj+eff95Zpx0WrjLM39/fbWZkD9dwsquriw+hHTlyBGVlZSCEICYmhheb2bNnIzs7WzAvrP9MlYGqbAYrDOhd7ix0S36u4ovLpXAVX/1zB11dXWhpaUFraysMBgN8fX15oQkPDxfs4cntO+IEBQASExP5kFf/PJRer+cT5CzLIjAwkM/NCIUtiXiTyQSZTIaenh54enoKPkuGy4Nx+RKZTMaLHCcm3B6j3ue0tQGmozEajfjXv/4Fk8mE9evXu00FmdFoxDvvvINly5Y5tTrXqeJy/vx5LFy4EN999x0WLlzorNMOCVcZ5uPj47IGb73hmgw2NzePqOFkT08PTpw4wedtSkpKYDabERISwncQyM/PR25u7ohXxsPNVBkKhmH6iI0QHQP6eylisZiv+LLmhuZ2YXONNfV6PXx8fHihiYiIGPEDVKPR8ILS1NQE4MKYh+zsbH52znBw4SlujwjnzYSGho5YkIVMxAs1S0av1/NiIpVKL2rwyAmKtQLWuwHm/Pnz3aIdk0KhwPvvv4/o6GisW7fOLUQPAL766iv4+/tj5cqVTjunU8Xl/fffx6uvvoqamhq38BC4yjAPDw+3aEFjMplQXV0NlUqF+Ph4u5oL6vV6FBcX8xVpJ06cgF6vh5+fH2bMmMGH0aZOnTpo8nMkM1WsZaDCAA8Pjz5ezWCfub+X4ufnh6ioKLu6J3PtaDih0el08Pb25oUmMjJyUHvUajUqKytRUVGB5uZmiMVipKSk8IJiT0muXq/nR2Jb682MZEe8LYx0loxGo+lTyaVSqQCAn3PDCYo9955CocDhw4eh0+kwffp0ZGRk2HwsoWhoaMB//vMfTJs2DStXrnSLCrLCwkKcOHECDz30kNPyyU4Vl1WrVsHT0xNbt2511ikHxVWVYYPR3d2N2tpaiMViZGZmCr4KM5vNOHv2LB9GO3bsGHp6euDl5YUpU6bwYbSZM2fCz8/PKTNVrO0Y0HtfCjf6NSoqyiFlzr2FRqvVwsvLC/Hx8UhISEBUVBQ0Gg3fabilpQVisRhpaWnIyspCZmam4P3QBvJmuH0zXEUXJyh6vR7AhYe3I1vTDzZLhts0y/3T6XQAgNDQ0D5hLqGvkcViwcmTJ1FTU4OkpCTMnj3bqdVsA3Hy5El89913+POf/+z08cID0dbWhi+//BK33HILEhISnHJOp4mLTqdDZmYmnnvuOdx7773OOOWQqNVqfhOeKyvDuIaTUqkUYWFhSE9Pd0pBAddBl+v8fOTIEXR2dgIA0tPTMWnSJMyfPx9XXHGF05KTvTsG6HQ6yGQydHd38xV8cXFxiIyMdFqoQaFQoKWlhe/h1dnZCYvFgtDQUOTl5WH8+PFOnZOj1+v5/mucF9A7zMWNBXDG74cQwl+b1tZWPrTs4+OD8PBwXkic2TCzqakJR48ehaenJ+bOnevypPqvv/6KgoIC3HXXXcjMzHSpLYQQvPvuu5g6darTyqWdJi579uzBmjVrUFhYiHHjxjnjlIPiLpVhOp2O7xPVv+GkM2FZFl1dXSgpKcHp06dRWVmJM2fO8LmDzMzMPj3SHLny4XIp3d3dYBiGTzhzq11HFQb0p7u7mw95dXR0wGw2IygoCL6+vvz/jYuLQ0JCAqKjox0meBaLpc/gLJPJxOetAMDb25sPmYWEhDjsmnB7YXqHubgGjwEBAXxomZvR46qO1lqtFoWFhejq6kJubi5yc3NdFpVgWRaff/45GhsbsX79epd2TQeAn376CT09Pbjtttuccj6nicuzzz6LX3/9FSUlJS4fXOUOlWG9G05mZma6pJiA20fAlXxyg7q4hH9bWxvv1Rw9ehQVFRUALlQ+cf3R8vPzkZ6ebtd3ajab+VyK0WiEr68v34mWe2gPVBggFov7iI29Hig3XKuiogKdnZ3w9PRERkYGsrOzkZ6ezl8XlUrFh856enrg4eGB2NhYJCYmIiYmxi6hGSoRz+VOeu/D4nIzXJsTTmjsrVTivpPeo3p7z33vXcnFfV5u6JvRaERAQAAiIyOdupmRo38DzHnz5rmscstoNOKDDz4AwzBYv369S4uGzp49i99++w0PP/ywU74Xp4nLnDlzMGvWLLz11lvOON2AuENlmMViQU1NDRQKBWJiYpCcnOz0sFzvmSpcmCc6OnrYKjK5XI5jx47xgnP27FmwLIuIiIg+e21ycnKsesD2rvjidllbm+AdrjDA2oq4rq4uXlBkMhm8vLyQmZmJ7OxspKamDnsctVrNCw3XBSA2NpZfwVvjSXCJeM5DsSURzzAMn5sxGo3w8vLi32utDb0rufo3eOQEhds7NBQqlYpvsxMUFISIiAiXLOSEbIBpD93d3Xj//fcRFxeHO++802UVZGq1Gh9++CGuueYaZGdnO/x8ThGXlpYWTJkyBRs3bsTVV1/t6NMNiDtUhjmi4eRIGG6mykjRaDQ4ceIEXyRw6tQpviHnrFmz+DDa5MmT+XNwK2JuJC83992e7rwjHSUglUr5pLxcLoe3tzfGjRuHrKwspKam2myHRqPhhYbbyBkTE8MLDSdUXDuYwRLxwcHBdnVT1ul0fKUZd9z+3oxOp+vT4FGpVAIA33ON+2drYYmrZ8lw9G6AmZGRgenTp7skFF5XV4dPPvkEs2bNwjXXXOP083N8+umniIuLc8r0X6eIy5dffonHH38clZWVCAkJcfTpLoKbiQ7AJZVhhBA0NzejtbXV4Q0nB4ObV2LtTBVbMBqNFzXk5CqKJk+ejJycHGRkZGD8+PGIi4uzuwx1MAYaJdDV1YW6ujrU1dVBpVLBz8+PF5SUlBTBV5NarZYXmu7ubpjNZvj7+8Pf3x++vr58BwNHJuJ7ezNyuRxqtRpGoxFarZYXNO63wHkmjpqV4+hZMsMxXANMZ3D8+HFs374d1157LWbPnu308wPAvn37UFFRgQceeMDh53KKuNx5552QSqXYuXOno081IK6sDDMYDKiuroZWq+VnkDgTIWaq2Iper0dhYSH279+PkpISlJWVQa1Ww8vLC5MmTeJDabNmzRJ80cFtRq2oqEBZWRkUCgW8vLyQlpaGzMxMpKWlwdvb22GFAb0T8R0dHWhtbYVMJoPRaERgYCBSU1ORnp6OuLg4wRcavYef9fZMdDodvLy8EB4ejuTkZGRkZDis4/JANgk9S2akcA0wlUolpkyZguzsbKcvNH/55RcUFRVh3bp1Tu9SDAD19fX45ptvsG7dOof32XO4uFgsFmRlZeH+++/HE0884chTDYhOp4PBYEBgYKDTV0tdXV2or6+Hp6cnMjMzHdZ+fiAcNVPFGlQqFV/x1TuX4u/vj+rqat6zOXLkCNrb2yESiTB+/Pg+nQRsqZwjhKC1tZXPoajVavj7+yMrKwvZ2dlITEy8qD2NUIUBgyXifX19+wzOMhqNaG1tRUtLC7q6uiASiRAVFYWEhATEx8fblJtgWRbd3d19Krm49i4RERG8Z8KVcSuVSigUCphMJnh5efGVZs7IBXC2ciXmI5klIwQMw+D06dMoLy9HXFwc5syZ49SiA5Zl8dlnn6G5uRnr1693eiNVi8WCt99+GwsXLsSMGTMcei6Hi8uJEyfwpz/9CTt37nT4h+kPFwJwdmVY74aTkZGRSE1NddrN48yZKr2xWCx8xZfBYOATwUOtTrn5NL332tTV1QEAUlNT+Wq0/Px8JCUlDbjK5EKOXA5Fo9EgICCAH66VkJAw5OrUnsIAk8nUZ0e8xWIZUSLeYDD0ERoAiIyM5IVmsIce1+CR80q4ue8eHh4XzX0f6nfXPzcTFBSE0NBQpyxCrJkl40ja2tpw5MgRAHB6A0y9Xo8PP/wQAPDAAw84vWx727ZtEIlEuPHGGx16HoeLy2uvvYZ///vfqKiocKoL7KrKMI1Gg+rqapjN5gEbTjoKnU6Hjo4OaDQap85U6e2lAOC9FFsTwZ2dnbxnU1RUhPPnz4MQgtjY2D5hNB8fH1RVVaGyshI6nQ5BQUF8Y8j4+Hibwh3DFQZIJBJotdoBE/GcoNiaiO/t0XR2doIQwgtNZGRkn1Yq3ARJrnkoly+xtTUPwzAu82b6z5LhRMYZ4WuDwYAjR46gra0NOTk5mDx5stPETSaT4YMPPkBiYiLuuOMOp4brjx8/jsOHD+Phhx926DPZ4eJy5ZVXIjY2Fhs3bnTkafrgisqw3g0n/f39kZmZ6RR3W6/XQyqV8jNVYmJiHN7Ar/fKmWv6yIVdhP6xKpVKHD9+HEeOHMG+fftQWloKs9kMHx8fpKWlIT8/H1dddRUWL14s+Lm5vIlcLucT4sCFPSfcniBHbFxUqVQ4e/YsysvLUVdXB7VajcDAQH6YWHJyMqKiohzSBl+r1UKhUPCf1VneDPebUiqVfDjPmrJne+Fa+JeUlCAkJATz5s1zWgPMmpoabNy4Efn5+U6tou3q6sLGjRtx4403IjU11WHncai4KJVKZGVl4Y033sDatWsddZo+uKIyzGQyoaamBj09PXY3nLSW/jNVuPb3jkStVvNeCiHEbi9lOBiGQUNDA99+xWAw8NVMXV1dKC0txcmTJ/n/PnPmTN67mTp1qk2h0IF2xIvFYgQGBvLVXh4eHoKOEuDmvnP/epcQc1VNJpOJb2IZFhbGN9Z01ObA/t6Mt7c3QkNDERwc7NDVPTfVVKlUOnWWTHd3NwoKCpzeALOoqAg//fQTrrvuOsycOdMp5wSADz/8ENnZ2Vi8eLHDzuFQcfn555+xbt06nD592mlVUlxlWFBQkFNcXIVCgZqaGojFYmRkZDh8GI/JZEJHR8eQM1WEZDAvxVHlpBaLBfX19aioqEB1dTWMRiPCw8P5HEr/flEmkwlnzpzpU/7MtYafOnUqLzYzZ84cMPfUOxHf09PDr9j7J+L7hy3s6RjAVfBxOROtVgsACAkJ6dMtuL+3YDab0d7ejpaWFnR0dIBhGISGhvJC46jcmiu8GUfPkhmI3g0wk5OTMWvWLKdsGfjpp59w7Ngx3H333UhLS3P4+QBg586daG9vx7p16xx2DoeKyyOPPIITJ06gsLDQUafogzMrw1iWRWNjIzo6OpzScNJsNvMzMEY6U8UW+nsp3IZLR3gpZrMZdXV1qKioQE1NDUwmEyIjI3lBGUneimEYviEnV5HGdXfOzc3FnDlzMH36dGRlZUEsFtuUiB/sMwxUGODh4QGNRsNXc3EFD727O3NiMhJPy2Kx8ELT3t4OhmEQEhLCC42j9g9x+2ac5c0INUtmJDQ2NuLo0aPw8vLCvHnzHN4TjGEYbNq0CW1tbdiwYYNT9uCUl5fj559/xgMPPOCw1IHDxIUQgsmTJ+Pqq6/G//7v/zriFH3gKsP8/Pwcnuvo3XAyOTnZoXPsHTFTZTD6eyncREBHzCg3mUyora1FRUUFamtrYTabERUVhZycHGRlZQm2/4IQgpqaGuzduxeFhYU4efIk2tvbAVyoSJs5cybmz5+PRYsWCeJdMwyDrq4utLa2or29He3t7TCbzfx3FxcXh/j4eMTExAi2GGEYBh0dHWhpaUFbWxvvuScmJiIhIcEhD2NnezMjnSVjL1qtFgUFBZDJZMjLy8PEiRMd6jXpdDp88MEHkEgkWL9+vcOrW/V6Pd59911ceeWVyMvLc8g5HCYulZWVmDdvHrZu3YrLL7/cEafgsVgsUKlU8Pb2dniDOmc1nORKex09UwX4/0OdenspUVFRgof4jEZjH0GxWCyIiYnhq7yEXLHpdDo+d8LlKrgd8TqdDufPn8fx48dRVFSEqqoqABcmR/bea5OWljbsA4X7nrh8iUwm69PgkRu5HBQUxFejAYBEIukTQhPqwcUwDKRSKS80ZrOZ71ackJAgeF6OG5+sUChgNpsd7s0MNkvGERBCUFpaitLSUkRGRmLu3LkOfb50dXXhgw8+QHJyMm6//XaHV5B98cUXCA4Odlg7GoeJy8cff4wXXngBNTU1Dq3j5oYpOboyzGKxoLa2Ft3d3Q5tOMmtfGUyGQDwoiL0jcowDO+lcNMXHeGlGAwG1NTUoKKiAnV1dWAYBnFxcbygCPWwGywRz7XsDw4OHnQhIJfLcfToUT6Mdu7cObAsi8jISL4/GteQk/MkuRCXXC7n57737sk1WKVT/02cQhYG9Idl2T5CYzKZEBAQwAuN0L3tuNwV580EBwcjNDTUIfe/TqfjPWyuP52jFnqdnZ0oKCiAxWLB7NmzkZSU5JDzAEB1dTU2btyI+fPn409/+pPDzgMAhw8fxqlTp/DQQw85xCtzmLisXr0aDMPgu+++c8ThAfz/yjBCiEOTfc5oOMmyLGQyGbq6ukAI4Utdhc7jaDSaPg9FR3gper0e1dXVqKioQH19PViWRUJCAi8oQoRpbE3EW4Narea9msLCQpw6dYofBZCcnIzMzExMnDgRM2fORHx8PD/33RacMUoAuPD76uzsREtLC1pbW2EymeDv788LjZBeY39vxsfHh/9OhF6QaTQavgmqv78/IiMjHSJmJpMJR48eRVNTk8MbYBYWFuKXX37BDTfcgGnTpjnkHMCFhsJff/01brvtNsTGxgp+fIeIi9FoREZGBp566imsX79e6MPzOLoyzBkNJ4ebqSIEA3kpkZGRiIqKEuw8Op0OVVVVqKioQGNjI1iWRVJSEj9PXgivcqAd8RKJpE/zR3tj1Wq1uk8ll1qt5iuXWltbUVNTg3PnzvGVczNmzOBHDUybNs2uBxshpE/TTXtGCQx3nq6uLr6xptFohJ+fXx+hEWqhptFo+NwM50k6wptx1iyZmpoanDx5En5+fpg/f75DFpqEEPzwww8oLi7Gvffe67BRASzL4t1338XMmTMdMorZIeJy4MAB3HDDDTh06BBycnKEPjwAx1eG9W84GRcXJ6hnZOtMlZHQ30sJCQnhvRQhPotWq0VVVRXKy8v5qZWcoGRlZdkdnx6sNX1AQAAvKPa0pufawvfuycXNfQ8LC+uz+733g8psNuPcuXN8RdrRo0ehUCjg6emJyZMn82G0mTNn2uUR9u4Y0HsC5WCjBGy9BjKZjBcabgxCfHw8EhISEBERIchvZSBvhsvNCOnNOGOWjEqlwuHDh9HT04OpU6c6ZDYKwzD49NNPIZVKsWHDBoeN5/jhhx+g0+lwyy23CH5sh4jLc889h+3bt+Ps2bMOCVWZTCZoNBqHVYbpdDqcO3fOYQ0nWZZFVVWVIDNVBqO6uhrd3d3w8vLicylCnuPo0aPYv38/RCIRUlJSeA9FqLi3UqlEZWVln0S8kK3pDQYDfvrpJxiNRojF4ovmvo/kWrEsi8rKSr4/WlFRETo6OiASifDII4/g2WeftdteYOBRAp6enoJVgxFCIJfLeaHhvLMrr7xS0BBQf28mOTlZUE+m/yyZmJgYwR/OvRtgpqenIz8/X9DjAxcWbx988AG8vLzw4IMPOiQ6c/r0aezatQsPP/yw4CJss7jU19f3+d/l5eXYvn07brjhBqSlpYFhmCGNtabtAMMwIITAYDDAy8uLv7jcim64izHcl2EwGAb879xqbqBGetyY5LCwsGGFzWg0Dvq3np4e+Pr6DvgQ42ZfDOcOGwwGEELQ3t4OX1/fPjcQl4MYamU/nP0KhYL//7nRsQqFAvn5+TAYDNBqtQgPDx/U27Lmhh7sO+BWugEBAYPa2dLSMuxOau46VFZWIjg4uE/ZeEtLCwICAhAYGDjob2W4cF7/+4CD+41KJJJBH8ybNm3CCy+8MOTxuYR/f7jCAAB9fkOEEBiNRv6aDXcPcN2bBzq+RqOBRqMZNB5fWVlpVU7AZDIN+N8tFgvUavWQm4BlMtmwTSUHOz4hBGq1Gr6+vhf9RuVyOfz8/GA0Gi/amNsf7jc0EAqFAmKxeFAPtaKiYtiGvXK5HMCF75obDzF//nyIxWLodDqoVKohtztYU7bf+17ujdFoRFdX15Cl8cePH8cVV1wx7Dn6Y7O4fP/995g8eTJSUlJw7NgxvPDCC/jnP/+J559/Hrfffjuuvvpqu70Wo9HIJ1L1ej38/PwgkUjAMAzEYrHTZ7MAwLFjx8CyrENWKsCFFTvLslZ5ZQaDAXV1dYiOjua9uYyMDMG8xYKCAvj6+iIgIABnz57lJyru2bMHt912m9MHnvWGEAKpVGrVHiOFQoGzZ8/yCV9XjbvtzZtvvolrrrlG8JkeSqWSD4E6ejd7d3f3sA9me89hMpkErwLjZvvo9XoEBwc7bMN1Z2cnPD09h11kcWHWU6dOYeLEifDx8cGxY8eQn5+P+Ph4lww24+D2MyUkJIz8zcRGduzYQR5++GFy5513kscff5yYTCZCCCEWi4U899xzZN26dcRisdh6eEIIIWazmbAsSwghhGVZolQqiVarJWq1mnR3d/N/cyZHjhwhp06dctjxz549a/VrOzo6iF6v5/93V1cXqaioIFKplCiVSruvf0tLC6muriYlJSVEpVLx/727u5t88sknRKlU2nV8e9BqtVZ9/wzDkC1bthCWZQnLsmTz5s0u+d30hmVZkpyc7JBjy+VywjAM0Wq1Djk+x969ex1+HauqqhxyjvLycsGPORBff/21Va/75ZdfyOHDh/vcywqFghw7doxs2rSJVFZWOsrEYfnwww9t/g5sFhdC/v8Dv//JWZYlx44dIytWrLDn8AOez2QyEZZlidlsJkajUdDjW8Pp06eJyWRyyLlZliU1NTUjen1/DAYDkcvlpLW1lZSVlTnsIdPT00M2bdpEOjs7HXL84Th58qRVr+svjGq1muzZs8du4bWHF198kdTW1jrk2AqFghByYQHgyM/47bffOuzYHGVlZQ45rrPEZdu2bVa9jmGYIf/25ptvumwh98orr9j8XrviSiKRaMDKI5FIxLfVqK6utucUFx2X283M9WxyBD09PQPGugkhyM7Ohqen56CxdntQqVQjaoE9UNjD29sbYWFhiIuLw7hx41BTU8PH5oUkKCgIa9euxZYtW0AcPyn7Iqz9THl5eX3yJgEBAcjIyMC+fftQVVXldNsJIdi4caNDGhQSQvjkfnBwMF/KPFpxxD4S8n8hQ0fT1dVl9SbIocL7YrEYGzZswL///e8hcz+Owp5r5dCkxRNPPIElS5Y47PgSiUTwhwPXEPDMmTMX/U0ul/N5hnHjxgl6XgBoamoSNI/k4eGBiRMnorS01CEPUQ8PD9x111345ptvBD/2QHR1dYFl2RG9Z6DrmZycjMsuuwwMw2D//v2QyWRobGwcNHkuJB999BEOHDjgkGPrdDp+wSEWix2WEyOEOGyLAQfDMEhJSRH8uGaz2aYR2iNl9+7dglWZenp64oEHHsA777zj1MWQSqXCrbfeavP7HSou3CjNnp4ehxw/KCiI3/sgFGfPnuUbJ/Z/kNXW1vI3rzPmxAgBV+rJtZMRmoCAAD7x6kjUajWMRiPKysrAMIzdSXlPT0/k5ORgypQpaG5uhslkws6dOwWydnD++7//22HtQ4xGY5/fpaN+o11dXRg/frxDjs3R0NDgEHFsampyygAyoW339/fHnXfeiZMnTwp63KH46quv7CqmcHi51WuvvYZFixY55NgikYgvxxUK7gZNSkrC+fPn+/xtpKvmkcCyrMPmeIeHh6O+vt5hq541a9Y4fNLo+fPn+cqZsrIywTpRh4aGYsqUKfzkUEeuDNvb2/HSSy8JcixXhCI5CgsLHf6AHqqM3x4cHSo0mUw4fPgwVqxYIfix4+Pj8f333wt+3MGwNwzncHERiUSYPXu2Q3IUwIXYslqthsFgGPHDv/8NSghBYmIigAt2OyLGSS4UUVz03+vr6x1acjhhwgRIpVKHHFssFiMzMxNtbW0OOT6XSxCJRIiLi0NWVpZDHm6XX345ysvLBT8ux8KFC3HPPfeM6D0D/VYIIdBqtTAajfzfCSEOnSek1+v5PJejwofk/9rfOPKzOFIUtVot9u7di6SkJIeN/Zg7d65Dw7ednZ04dOgQ9Ho9/yy0FadsFPnggw+wbNkyh6y2JBIJAgICIBaLoVarRyQwDQ0NfWxqb2/vM9MjKChIcJs7OjrQ3NzMe1yEEDAMA5PJ5NAfvr+/PxobGx12/MWLF2Pz5s02X6+hVpS1tbV8iw2RSOSwWRdisdhhYYeTJ0/i5ptvHvF3rNfrL7qm3KAuhmGg0WhgNBphMpkc2hV89+7d2LdvHwghDntwdnV18XNpHFHwwDCMQzsa79ixA5dffrlDckUcK1aswJdffumw43/xxRfIzMzEzp07sXr1aruO5RRxEYlE+O677/DEE0845Phc8jIoKGhE+Z2kpKQ+q/nGxsY+N39OTg6USiX/v+2tMrFYLGBZFjExMejs7ERTUxOam5vR2NiIzMxMu45tDTk5OYPu1LUXkUiE22+/HX/88ceI30v+b/d/V1fXgH+Ty+WjJsc1ECdOnMDTTz+N5557bsTv9fX1veg3rdVq4enpCV9fX/j7+/OdlR11jVpbWzF79mzMnz8fhYWFWLp0qUPOI5PJ+C7TQnsuhBDU19c7VBinTJni8I3FIpEIFRUVDjm20WjEjBkzEBsbi5UrV9rdbsZpW9wnTZqEoqIih+YtRCIRfH19rT6HRCIZMlwnFov5L5IQMmIB6L/qrKmpQVxcHLy8vPgpgXFxcUhJSXFoSIMjKCiIH4zlCCIjI1FTUzNi76WqqgrZ2dno6Oi46L1tbW2YOHGikGYOyYwZMwT1Vs1mM/7yl79g586dNj38OU9toNJrkUgEsVjMi4wjIITg6NGj/LyU6dOnO8Rz1Ol0SE5OhkgkEvwBTQhBS0uLYE04+8OyLPbs2eOUBSIAXH/99fw0VVswGAwDFkJ9/vnnWLBgAYChy6Otxan9U3bv3o3777/foefw9vYekffCJXGHq39vbGwcsZJzLeI5LBZLn2ozru+UM9vYpKSk8J1/HcG6deuwa9cuq1+vUqng6ekJHx8fTJgwAbW1tfzfjEYjuru7HT5dtDfZ2dk4ceKEYMe7+uqrsX//frtajPj4+PD5P0LIRSWuIpHI7ocmIQQKhYLvc8X9t9LSUsydO7ePLfacQ6VS9TkH998bGxtt/p7VavVFeQij0Qi1Wg1CCFpbWxEREWFX5IHLB3V1dfW5f1iWxd69e7Fs2TKnedfTpk3Dv/71rxEvggghaGtrw86dO/HJJ5/0+e+1tbWDDrizFaeKi5+fH37++WeHnkMkEo3ooufm5kIul0OhUCArK+uiv2dlZcFoNKK9vX3EFz44OBhtbW18AtYRceSREhUVhXPnzjns+L6+vjh16pTVryeE8BtHxWIxXzLNPdgmTJjgEDsHY6Rhh19++QVNTU19fnNc08qSkhKkp6fbnQsRiUQICgqCxWLhQ2JCwT3wS0pK0NzcjKKiIv6zVFZWAoAglXkMw6CjowNms5nvf0Z6tfu3p1LS09MTzc3N/Gqc/N8cJr1ezzd1tafrcmtrK06ePInDhw+jo6MDv/76K2//H3/8gUmTJlnVPFIoRCIR7r33Xmzfvt3q9xiNRuzduxenTp3Ctddei8mTJ0Or1YIQgu+//x7Nzc24/vrrhbWTOLmmcefOncjNzbW7EmEoOA/BWk+jqKgIXl5eA3Z4JYTg5MmTEIlEmD59+ohtMZlM6OzshFqtdvjGM2tpbGxEXFycwxr2lZWVITEx0aZW8NzsGZlMhqSkJIeNrh2KQ4cOIS8vD0ajcdgNd/v378fWrVv5nJO3tzfef/99vpv35s2bBVsNKhQKEEIErSo8c+YMTCYT0tPTERoayk9czMjIQGtrK2bMmGG3/dw8nsjISPj7+4NlWTQ2NiIoKAgsyw7YfXykMAyD9vZ2BAcHQ6lUIi4uDmKxGAzDQCKR2PUZ6uvr+cmmEokEcrkctbW1/CgIRybwh2LTpk248cYbrfL4CgsLERsbi9TUVH4B/v7772P69OkICAjAxIkTBfe8bBYXe8pa//GPf+Dtt98e9nX25Gd0Ot2wO2S5jX+tra1DJhF7enrg7+9/0d+Hiw1zcfKOjg5ERkaO+AYa7uFvz8bF1tbWYVvN2NNe59ChQ1a1vxjoM9TX1yMwMBARERHDvn+478DWEGBRURHCwsIwZcqUIV8nlUr5sM73338PmUyG9evXIzw8HD4+PsPesMOJV+97gGVZvku4tQwXclWr1Rf9rhsbG9HT04O8vLxhj2+NLRqNBl5eXn2uhVKphNlsRmRk5LDvH+4+4CoNudAewzBWHZdjuHznQL+h8vJysCxrlWc93AJJpVINe4yBIITg4MGD+POf/zzsa9Vq9UW/xfLycnR1dfF5lqGwpduAzeLS2to66N/MZjNYlh0y8de75HcwhpplwZVjDsVwD/PBNmpxo4fDw8OHvDmHO/9QD/+enh74+PgMeYzhHpxDbTRTqVQQi8VD/iiGs3+oH71Op+NXiINhjecy2GdgGAbd3d3DPiSG+wxarXbQ43d0dAw76nm4VeFQ94HRaBxyngsw/H0w1J4Gbk/IUPYPdw8MJb7ceOehvmNrPMvB+sBx81yGm0Y5nLgM1WduqLlJ1h5/sN8QAHR3d8PT03PI0Odwv6Heedn+WDPPxZpc0mD3stFohFQqHbZE25YohM0lSkPdFH//+9/x0UcfYcKECXj66adtTnYNdmOYTCYYDAZYLBZ+j4stDPZg0ul0aG1thV6vt6sCZKgftEwmQ3BwsF3x+KEerB0dHfDz87MrFjzYD8pgMGDLli0QiUS466677Kp0G+gzqNVqVFdXg2EYhIeH2xUv739jMwyDqqoqlJaWwmQyYf78+Xa1khnsPmBZFkuXLsWZM2dw5ZVX4qmnnrIpfzSUOBgMBhgMBvj4+MDPz8+me2wocejs7ERJSQlEIpFdc2cGe3hz4U9fX1+77oPBjs8wDLq6uhAbG2tXUchg7+3u7kZBQQFSUlLsmu80kDgQQnD8+HHs2LEDERER2LBhg12hw/73slarxdGjR1FSUgIvLy/cdtttgjf0dEhC/8UXX8SOHTsQHByMtWvXYvny5Thw4IBgJZ7cnhaWZdHT0yN4Xys/Pz9kZGTwyUZHEBgY6LCuzmazGTqdzq757YPBsix+/PFH6PV63HDDDYKWUHOJ2HPnzsHb2xt5eXmCjb/lRkv/8MMPOHnyJBISEnDttdc6bHCYWCzGrl278K9//Qvnz5/nd+cL2SXc398f/v7+MBqNg3bytoeUlBRkZGSgpKQEnZ2dgh4buHAfe3l5Oew+4DwOR1Qb6vV67N+/HyEhIZg5c6agx9bpdPj666/xww8/YOrUqXjggQcEG3FsMBhw8OBBfPzxxygtLcWcOXNw3333OaRTtEMT+oQQHDp0CP/4xz9QXFyM/Px8PPPMM5g9e7Zgx9dqtXyIzNbV22C0tLSgubkZ48aNE7waRKlUoqmpCTk5OYIn1mUyGWprazF16lTBj717926cOnUKN910k6APZqPRiOrqaqjVaiQmJiI+Pl6Q75IQgrq6Opw9exZqtRqpqamYNGmSYHPnrcFsNmPr1q345z//iY6ODtx444144oknBLt+DMPw3SmsmWA6EgghOHz4MBQKBS6//HLBOv1ytLe3Q6vVDjuu2tZj6/V6was0GYbBrl27oNfrceWVVwq2AAKAuro6bNu2DSaTCddff71g1ZJGoxEnT57EiRMnwLIspk+fjpkzZzpsUyngpGoxQgh2796Nl19+GWVlZVi0aBGefvrpYZOl1mI0GqHT6fgcg1AqD1zY4KdQKDBx4kRBV0DcvOyEhATBe4rV1tZCr9cLvvmwpKQEv//+O5YvXy7YdweAr77x8PBAZmamIG1MuCT7mTNn0NPTg8TEREyePHnYkbOOxGg04osvvsCbb74JhUKBtWvX4q9//asgDUsJIdDpdDAYDPDy8kJAQIBgCy2TyYR9+/YBuNB/TcgFi1qtRnNzMzIyMgTfPFldXY2goCDBW+wXFBSgubkZV1xxhWD3LrcRc//+/UhNTcXq1asFiTyYzWYUFxfj2LFjMJvNmDp1KmbPnu2UKkynliKzLItff/0Vr7zyCqqqqvhYtBDtu7k+SwzDCLp6Y1kWZWVlMJlMyMvLE/TGqqmpgaenp+ChmVOnTiEyMlLQcu/GxkZs3boVU6ZMwbJlywQ5JsuyqK+vR2dnJ8LDw5GWliZImK2lpQUlJSVQKBSIj4/H5MmTnboPYTj0ej0+/fRTvPPOO9Bqtbjrrrvw8MMPj6jCaTBMJhM0Gg1EIhECAgIE+72q1Wrs3bsX4eHhmDdvnmDCxbIsKisrERMTI6jwG41G1NXVISkpSdBF4blz53D69Gm7c3W96e7uxtatW9HS0oIlS5bgsssus3tjtcViwZkzZ1BUVAS9Xo9JkyYhPz/fof3n+uP0fS7ABSHYvn07Xn31VTQ2NuLaa6/F3/72N7vbJxBCoNfrYTAY4OnpKdjqzWQyobS0FN7e3hg/frxgO+qlUilkMhnGjx8v2M2q1Wpx7tw55OTkCBb6USgU+PzzzxEdHY3Vq1cL8vm1Wi2qq6thNBqRmpqKqKgou4/Z3t6OkpISyGQyREdHY8qUKYIc11Go1Wp89NFH+PDDD2GxWHDvvfdiw4YNdj9kWZaFRqOB2WyGr6+vYKtUqVSKw4cPIzMzE5MmTRLkmMCFBrISiUTQxVB3dzc6Ozsxbtw4we7X5uZmHDx4EHl5eVaVaVvDmTNnsH37dvj5+WHNmjV2N9ZkWRZnz57FkSNHoNFoMHHiRMydO9ch+dfhcIm4cHCx6Ndff71PLNreC2w2m/nVm7+/vyCrN41Gg7KyMoSHhwsWH9ZqtaitrUVGRoZgD4C2tja0trZi+vTpggiW0WjE559/DkIIbr/9dkE8wvb2djQ2NsLPzw+ZmZl2x6y5qiapVIqIiAhMmTIFsbGxdtvpLBQKBT744AN8/PHH8PDwwAMPPID777/f7lWmXq+HTqeDh4eHYOHimpoalJSUYPr06SMayT0UMpkMMplM0FEKTU1NACBYF2SFQoE//vgD8fHxmD9/vt3HM5lM+Omnn1BcXIxJkyZh5cqVdrfWKSsrQ2FhIZRKJcaPH4+5c+c6dIzHcLhUXDiMRiO+/PLLPrHoRx991K5YNMuy0Gq1MJvNfKmmvcjlclRVVSEpKcmqfTrDQQjB+fPnERERIVhcuLy8HGKxeMBWNiOFEIJvv/0Wra2tuP322+3+oZrNZtTU1ECpVCI2NhZJSUl2rSplMhlOnz6NtrY2hIWFYfLkyUhISLDLRlcik8nwzjvv4NNPP4W/vz8eeughrFu3zq7frsVigUajAcuy8Pf3F6Tp5KlTp1BfX48FCxYIEsrT6/Wor69HSkqKIPcpIQSVlZWIiooS5OGq1+vx22+/wcfHB8uWLbM7dNva2ootW7ZApVLhmmuuwdSpU20WVe6zFhQUQC6XIzMzE/Pnzxfke7EXtxAXDi4W/e6770Kr1eLOO++0OxZtMBj41Zu/v7/dq7fm5ma0tLQgKytLkB9uY2MjzGazIN4QwzAoLi5GcnKyIGK1d+9enDhxAqtXr7Z7lapUKlFTUwMAyMjIsKv0UaFQ4PTp02hubkZwcDAmT56MpKSkUd2Wvzft7e1488038eWXXyI0NBSPPvoo31rGFnoPF/P29oa/v79d14plWRw+fBhKpRJLliwRJKdRWVmJ0NBQQcKYWq0WTU1NSEtLs1tMGYbB7t27odVqceWVV9olflzl3R9//IGYmBisWbPGqi4Ug1FTU4PDhw+js7MTaWlpmD9/vmATWoXArcSFQ61W4+OPP+4Ti16/fr3NsWiu4R9XqmnvD46rIMvNzbV7pdXd3Y3W1laMHz/ebuFTKBSoqqrCpEmT7A5fnTlzBjt37sSyZcsG7LlmLSzLoqmpCe3t7QgJCUFGRobNYcqenh6cOXMGDQ0NCAwMxKRJk/heSWORxsZGvP7669i2bRtiYmLw+OOPY82aNTZfP6PRCK1Wy1dV2rMCN5lM2Lt3L8RiMRYvXmx36Lm1tRVGo1GQsmGpVAqVSiVIC/wjR46gsbERy5Yts6soRK1W45tvvkF1dTUWLFiAK664wub7vaGhAYcOHUJ7ezsSExOxYMECt/TY3VJcOBQKBT788MM+sej77rvPplg0V6ppNBrh5eVl1+qNZVmcO3cOFosFubm5dt1YJpMJFRUVSE5Otjvp1tDQAKVSicmTJ9t1nObmZmzevBmTJk3C8uXLbT6OXq9HdXU1P6vD1jyIWq3G2bNnUVdXBz8/P+Tl5SE9Pd2powpcSU1NDV599VX88MMPSE5OxpNPPolVq1bZ9HDiqiotFgv8/PzsynepVCrs27cPERERmDt3rl0ir1Qq0dbWhqysLLsXWXV1dfD19bU771ZWVoaSkhLMmzfPruaUlZWV+OabbyAWi3HjjTfaLHotLS04dOgQmpubERcXhwULFjhsE7AQuLW4cHCx6I0bN8Lf3x8PPvigzbFok8kErVbLl2raunozmUw4e/YsfHx87K4gq6yshL+/v92rjzNnziAoKMiuEJZSqcRnn32GyMhIrFmzxubP1dnZifr6enh7eyMzM9Om0IlOp8PZs2dRXV0NHx8f5ObmIjMzU9B9TKOJsrIyvPrqq9i5cycyMzPx1FNP4eqrr7bpO9LpdNDr9XxVpa3fc0dHBwoKCjBu3Di7KqgsFguqqqoQHx9v1yKLy+vFx8fbVS3Z0tKCAwcOIDc31+bKOIvFgt9++w2FhYXIzs7GDTfcYNN90N7ejsOHD6O+vh5RUVFYsGCBXe14nMWoEBeO9vZ2vPXWW31i0bfddtuIw1xcqabFYrFr1oNareYT8vZ82W1tbejp6bGrJb/RaMTp06cxbtw4m8OHJpMJX3zxBSwWC26//XabrovFYkFdXR3kcjmioqKQmpo64geXwWBAaWkpqqqq4OHhgYkTJyIrK8sp0zpHAyUlJXjllVewd+9eTJgwAc8884xN/fu4qkpuAJmtmxirq6tx+vRpzJgxw64Vfm1tLXx8fOwqllEqlWhvb8e4ceNsXoQolUr8/vvviI2NxYIFC2zyyDo7O7FlyxZ0dnbiT3/6E+bMmTPi43R1deHQoUOoqalBeHg45s+fj3Hjxo2aMPCoEheOpqYm/POf/8Q333yDmJgYPPbYYzbFovV6Pb968/f3t2n1JpPJUF1djeTkZJur21QqFRoaGpCVlWVzPqizsxMNDQ2YNm2aTTcVNzSoqakJt99+u03xZa7hpMViQXp6+oiPYTQaUVZWhoqKCohEIkyYMMEh7XHGCkePHsXLL7+MI0eOYOrUqXjmmWewcOHCET18CCHQaDQwmUx2NcA8efIkGhsbcdlll9mcm5BKpejp6cG4ceNsej9wIXdjNpttFjmDwYDff/8dnp6euOKKK0a8oCGE4MSJE/jll18QGhqKNWvWjDg8J5fLUVhYiPLycoSEhGDevHmC7oVzFqNSXDhqamrw2muv8bHov/3tbyOORZvNZn4im7+/v02rt6amJrS2tiI7O9smr4HrAhAbG2tz9UhVVRUsFovN3Q7279+PY8eO4YYbbhixF8aNkm1ubkZgYCAyMzNHJJJmsxnnz5/H+fPnQQhBTk4Oxo8f75BZ7WMNrn/fyy+/zPfve/bZZ0fcv4+rqhSLxQgMDBzxAoVlWRw6dAgqlQpLliyxKWSt1WrR2NiItLQ0mwtSqqqqEBoaalOFKcMw2Lt3L1QqFa688soRh7D0ej2+//57nDt3DjNnzsTVV189ooWRUqlEYWEhysrKEBgYiDlz5iA3N3fU5hZHtbhwnD9//qJY9IoVK6z+UoRogFlZWYmenh5MnDjRphurrq4OIpHIpnwJIQTFxcWIjY21KaRQWlqKHTt24PLLLx9xh1ej0YiamhqoVCokJCQgISHB6mtnsVhQUVGBsrIyWCwWZGVlYeLEiQ5tpjdW4fr3vfTSSygrK8PixYtH3L/P3gaY3ChdDw8PLF682KZVf0VFBaKiomzyfvR6PRoaGpCcnGzTPVhUVIT6+nosXbp0xOJUX1+PrVu3wmQyYdWqVSPq66dWq3HkyBGcPXsWvr6+mDNnDiZNmjTqc4tjQlw4uFj0vn37bJolY08DTIZhcO7cOTAMg7y8vBHfWF1dXZBKpZgwYcKIhY3L/djSXLOlpQWbN2/GxIkTrZoc2Ru5XI66ujqIxWJkZmZanUDtP1MlMzNTkLJuygUPYseOHRf177O2u669DTBVKhX27t2L6Oho5Ofnj/i33NTUBEKITVVQMpkMcrncprxEeXk5iouLMWfOnBGVQ7Msi71792Lfvn1ISUnBTTfdZHVBQv+ZKrNmzXJIJ3NXMabEhePYsWN9YtFPP/201bFoexpgGo1GlJaWwtfXd8QxUoPBgKqqKqSlpY24rXlLSwukUumId/qqVCps2rQJ4eHhWLNmjdViyrIsGhoaIJVKR9RwkmVZ1NTU4OzZs9Dr9UhPT0deXp7gbdwp/79/3yuvvILGxkasXLlyRP377GmA2d7ejoKCAuTk5Iy4M3d3dzekUimysrJGHA5qaGiAh4fHiKsuW1tbceDAAYwfP35Enp5CocDWrVvR3NyMyy+/HIsWLbLKZoPBgGPHjqG4uBhisRgzZ87EtGnTxlwYeEyKC2DfLBl7GmCq1WqUlZUhKipqxBvCzp8/j9DQ0BEnAM+dOwcfH58R7fI3mUz48ssvYTQacccdd1jtNdjScNIdZqpcqtgzS8aeBpiVlZU4e/YsZs2aNaL+XkajEbW1tUhKShrRosPW7so9PT34/fffER0dPaJiiLNnz2L79u3w9fW1eraRK2aquJIxKy4c9sySsbUBZldXF2pqapCSkjIioWhuboZerx9RtYzFYkFxcTHS0tKsjhMTQrB9+3Y0NDTgtttus/p9I2046Y4zVS5V7Jkl07sBZmBgoNUexYkTJ9DU1IRFixaNqFVSdXU1AgMDR9TKRK1Wo6WlZUQdIIxGI3777Td4eHjgiiuusOp9JpMJP//8M06ePIm8vDysXLly2PvAlTNVXMmYFxeO3rHo6upqq2fJ2NoAs7GxEW1tbcjJybG6j5Yt0ynlcjlqamowZcoUqyvdDh48iCNHjuCGG26wytsxm82ora2FQqGwuuFk/5kqkyZNsquPEkUYdDpdn/591s6SsVgsUKvVfFWlNSEclmVx8OBBaDQaXH755VbfO21tbXzY1Fo6Ojqg1Wqtfg+XK+np6cHy5cut8pJG2nDSHWaquJJLRlw4GIbB999/j9dee21Es2R6N8C0Zkcz161UpVIhNzfXqg2JFosF58+fR2JiotWr+7q6Omg0Gqt3R5eVleHnn3/GokWLrAoRjrTh5GibqXKpYsssGVsaYBqNRuzZswdeXl5YtGiRVbk5lUqFlpYWZGZmWr3IqqmpQUBAgNXezrFjx1BbW4slS5YM+/skhKCgoAC///67VQ0n3Wmmiiu55MSFw5ZZMlz7ckKIVQ0wuQoylmWRm5tr1Y1VXV0Nb29vq+PUJSUlCA8Pt+r1bW1t+OqrrzB+/HisWLFiyNcSQtDU1IS2tjarGk6O9pkqlyq2zJIZaQPMnp4e7Nu3DzExMZg9e/awgsQwDCorKxEbG2vVIstkMqG2thaJiYlWeSCVlZU4ceIE8vPzh/V0ejecnD9/PpYvXz5o4Uv/mSo5OTmYN2+eS2equJJLVlw4uFj0W2+9ZdUsmZE2wORamfj7+yMnJ2fYG6ujowPd3d1WbYbU6XQoLS1Fdnb2sKsitVqNTZs2ISQkBLfccsuQlWFc5Zo1DSd7z1QJDQ3FlClT3LJDK2Vourq6+vTvG26WzEgbYLa1taGwsBDjx4+3qiy6vr4enp6eVv2WRjJ1sr29Hfv27UN2dvaw3b4rKyvx7bffAgBWr149aHTDnWequJJLXlw4uFj0e++9Z9UsmZE0wFSpVDh//jyio6OH3STJTae0JmHe3t6OlpYWTJs2bcibymw246uvvoJOp8Mdd9wx5F6Yrq4u1NXVwcvLC+PGjRv0tWN9psqlSltbG95880189dVXfP++O+64Y9B83kgaYFZUVKC0tBSzZ88edqRxV1cX5HK5VdMpm5ubwbLssBVbKpUKv/32G6KionDZZZcNelyLxYLff/8dBQUFyMrKwg033DCoR9R/psq8efOox/5/UHHpR/9ZMvfddx8eeOCBAd3zkTTA7OzsRG1tLVJTU4eMC3OudVRU1LCxYK4H11BTJwkh+PHHH1FbW4vbbrtt0GNaLBbU19dDJpMhKioKKSkpA3o3l9pMlUuV3rNkYmNj8fjjj+Omm24aMDQ6kgaYx44dQ2trKxYtWjRkyMva6ZSEEFRVVSEiImLIXf0mkwm//fYbxGIxli9fPmiIt6urC1u2bIFUKh2y4eRomaniSqi4DMJIZslY2wCzoaEBHR0dyMnJGTKM1dDQAIZhhowHsyyL4uJiJCYmDilWhw8fRkFBAVatWjVoibM1DSc1Gg3OnDnDz8qYNGnSJTVT5VLF2lkyXFXlcA0wGYbBgQMHoNfrcfnllw+6IONEIywsbMjwEjd1MjU1ddD9IizLYt++feju7saVV1454D1MCMHJkyfx888/IyQkBGvWrBkwNN5/psr8+fPt6gQ9lqHiMgxcLHrTpk1DzpKxpgEm1ztJo9EgNzd30JtBLpejra0NEyZMGPThrVQqUVlZiby8vEFv0PLycvz4449YuHAh5syZM6A9ra2taGlpQUBAwIANJ3vPVPH29kZeXt4lPVPlUqWsrAyvvPIKfvvtN4wbNw5PPvnkgLNkrGmAaTAYsGfPHvj4+GDRokWD/pZaWlpgNpuHDCV3dnaip6dnyGrPEydOoKqqCkuWLBlw/Lder8f27dtRWlqKmTNnYsWKFRfdv6N1pooroeJiJW1tbXjrrbf4WPRf//pX3HbbbX1+hNY0wGQYBqWlpQCAiRMnDpir4aZTpqSkDLqLvbGxEd3d3YNuBu3o6MCXX36JrKws/PnPfx7wHNXV1YM2nKQzVSgDUVJSgn/84x/Yt28fJk6ciGeeeQZLly7t89uxpgGmUqnEvn37EBcXN2hJvDXTKbmBdIMV4FRVVeH48eOYPXv2gHu6GhoasHXrVhiNRlx33XXIzc3t8/euri4cPnwY1dXVo3Kmiiuh4jJCes+SiY2NxWOPPXZRLHq4BpjcgzsgIADZ2dkD/lArKioQGBg4aJfjs2fPIiAgYMAWMxqNBps2bUJQUBBuueWWiwShu7sbtbW1AzacpDNVKNZw9OhRvPTSSygqKsK0adPwzDPP9BmsZU0DzJaWFhQVFWHixIkDDsozm82orq5GQkLCgIssi8WC6upqxMXFDRhm7ujowN69e5GVlYXp06f3+RsXKtu7dy9SUlKwevXqPnu4xspMFVdCxcVGhpslw5Vqcqu3/uGmnp4elJeXIyYmZsCYbWtrK9RqNbKzsy/6m8lkQklJCTIzMy+qobdYLPjqq6+g0Whwxx139Kly6d1wMiwsDOnp6bzwmM1mlJeXo6ysjM5UoVgF17/vpZdewqlTpzBnzpyL+vcN1wDz/PnzKCsrQ35+/oAJ8draWvj6+g7omfT09KCtrQ2ZmZkXLaDUajV+++03hIeHY/HixX1EgWs42dTUhCVLlvRpONnT04OCggKUlZUhICAAc+fOHdUzVVwJFRc7OX/+/EWxaG6WTO8GmAPtiZFKpairq0NaWtpFsWBuOmV2dvZF8V9uPv20adMuuql++uknVFVV4dZbb+2T6O/dcDIlJYU/n8ViQWVlJc6dO0dnqlBsYrhZMsM1wDx69Cja2tqwePHiizpAdHR0QK1WD5hTaWtr4xuo9sZkMuH3338HACxfvrzP/VNaWorvv/8ePj4+WLNmDV++rFarUVRUhDNnzsDX1xf5+fmYNGkSDQPbARUXgeBi0fv378fEiRPx9NNP87Ho3nti+jfArK+vh1Qqxfjx4/u4/gzD4Pz584iLi7uoequ6uhomk+mizWhHjhzBwYMHsXLlyj4eT3t7O5qamuDr68vvn+k9U8VoNGLcuHF0pgrFLliWxS+//NKnf9/TTz/NbwgerAEmwzDYv38/DAYDlixZ0mdho9Fo0NTUhPT09Iu86KqqKoSEhPQpryeEYP/+/ZDJZH0qw0wmE3755RecOHGiT8PJ3jNVPD09MXv27DE1U8WVUHERGG6uOReLfvrpp7FgwQI+2c+t3rgKL0IIysvLodVqL6ogq62thUQi6RM246ZOxsTE9AkjVFZWYvv27Zg/fz7mzZsHYOCGkwD6zFRJS0vDpEmT6EwVimBw/fteffVVNDU14dprr8WTTz6JjIyMQRtg6vV67N27F76+vrjsssv48DLXSr//dEqDwYD6+vqLpk6ePHkSlZWVuPzyy3nPva2tDVu2bIFSqcQ111yDadOmwWg09pmpMmPGDEyfPp2GgQWEiosD6D3XvHcsetasWQM2wLRYLCgtLYVIJEJubi5/Y3V2dqKzs7PPdEqNRoOysjKMHz+eX5VJpVJ8+eWXyMjIwLXXXgvgQuy4uroaAJCeno6QkBDU19fjzJkzUKvVSElJweTJk+lMFYrD6D9LZvXq1Xj88ceRlJQ0YAPM7u5uHDhwAAkJCX3GbTc2NkIkEvXpnyeXyyGTyfpUbtXU1ODo0aOYOXMmxo0bB0IICgsL8dtvvyE6Ohpr1qxBUFBQn5kq06ZNw6xZs2gY2AFQcXEgg82Syc3N5Xc0c3ti9Ho9SktLERQUxLe80Ov1qK6uRnp6Ot+GpbW1Fe3t7Zg2bRpEIhG0Wi0+++wz+Pn5Ye3atfDw8OAbTgYHByM9PR0dHR04ffo0nalCcQlGoxGff/55n/59f/3rXxEeHn5RA8zm5mYcPXoUubm5fGhXLpejs7OzT2VlY2MjxGIx30ZGKpViz549yMzMxMyZM6HRaPDNN9+gqqoK8+fPx+LFi3H27FkcPXr0kpqp4kqouDiBwWbJJCUl9dkT09PTg4qKCsTGxvKJxvPnzyMsLIx38cvKyuDl5YXMzExYLBZs3rwZPT09uOOOO+Dp6Ynq6mpotVokJSWBZVk6U4XiNvSfJbNu3Tps2LABPj4+fRpglpWV4fz585g7dy7i4uL46ZTJycnw9/cHy7KoqqpCdHQ0QkNDodFo8NtvvyE0NBSLFy9GTU0NvvnmGwDAddddB71ef8nOVHElVFycSO9ZMlws+pFHHkFsbCxfqimTyVBfX4/09HRERUWhqakJRqORF5Pi4mJ+vPAvv/yCiooK3HLLLfD09OQbTgYGBqKqqorOVKG4Jf1nydx3332488474ePjw7dQOn78ODo6OrB48WIEBwejqqoKwcHBiI6OhkajQXNzM9LT0yESifD777+DZVksXboU+/fvx+HDh5GRkYHx48fj9OnTl/RMFVdCxcUF9J8lc8MNN+Avf/kLYmNj4efnh7a2NnR2dmL8+PFgGAbNzc0YP348VCoVqqurMWXKFJw6dQr79+/HihUr4OPjA5lMBrFYzMei6UwVirvTf5bMfffdh5tvvhmBgYHw9vZGYWEhTCYTlixZArlczk+n7OjogEajQXp6Og4cOIDOzk7MmDEDO3bs4Hv3abVa9PT0XPIzVVwJFRcX0n+WzOrVq3HPPfcgMTERjY2NMBgMyMnJwYkTJ3Ds2DE0NzcjICAA1157LQ4cOMB7JDKZDGq1Glqtls5UoYw6es+S8fPzw3333YebbroJPj4+KCoqQmBgIKZMmYKzZ8+iuLiY35U/a9YsfjhdQUEBzGYzIiMjwTAMnaniBlBxcQN6z5LRaDS45ZZbsG7dOvT09ODjjz/G559/DkIIJBIJLBYLRCIRli1bhocffhjt7e0ghCAiIoLOVKGManrPkgkODsb999+Pq666CiUlJdixYwe2bNkChmHg4eHB3wcLFy7kxyHHx8cjMzOTzlRxE6i4uBHcLJkPPvgAZrMZ8fHxOH78+KCvX7x4MdavX4/JkyfTmSqUMQM3S2br1q180r6goGDQ10+bNg1//etf6UwVN4OKixuiUCjw2muv4ZVXXhnydRKJBM3NzXSVRhmT1NTU4LnnnsPmzZuHfJ1EIkFra+uA7fQproN2Y3NDQkND+QqyoSCE8DO+KZSxRkZGBmbNmmXVfbBt2zYnWUWxFioubopUKh22aZ5EIoFUKnWSRRSK86H3weiFioubEh0dDYZhhnwNwzA0FEAZ09D7YPRCcy5uilQqRUJCAiwWy6Cv8fDwQEtLC72xKGMWeh+MXqjn4qZER0fjscceG/I1jz32GL2hKGMaeh+MXugkHDfm5ZdfBgC88cYbYFkWEokEDMNALBbjscce4/9OoYxl6H0wOqFhsVGAVCrFtm3bIJVKER0djdWrV9OVGuWSg94HowsqLhQKhUIRHJpzoVAoFIrgUHGhUCgUiuBQcaFQKBSK4FBxoVAoFIrgUHGhUCgUiuBQcaFQKBSK4FBxoVAoFIrgUHGhUCgUiuBQcaFQKBSK4FBxoVAoFIrgUHGhUCgUiuBQcaFQKBSK4FBxoVAoFIrgUHGhUCgUiuBQcaFQKBSK4FBxoVAoFIrgUHGhUCgUiuD8P6ypsferHEyEAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 500x400 with 33 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,[3,2],1], mult_arity=[[],[2,3],[]], device=device)\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8992507",
   "metadata": {},
   "source": [
    "Make a deeper network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5da9e2b1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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HvV6Pjz/+GOXl5Vi9ejVGjhwZLisSgqBz4PHHHw+vA14inERph4sXL6K0tBRDhgzBjz/+CIZhYLVaUV9fDwA4fvw4Nm3aBADIzMzEDTfcgG3btoWbD11F8HQOjB8/HhKJBJ9++mk4fPUqQXgd8B1hcrFDRUUFoqKiUFFRgUmTJsFisQC4EjUEAEuXLsV7770HALjvvvswbtw4fP/99+HwxKsI3syB06dPo1OnTqLJHIawCK8DviNMLnZQKpWwWq1QKBTo2LEjLBYLCCEoKSmB0WhESkoKYmNjAQCpqakwGo1QKpUiSx2GkAjPgTAAwGKxhOeADwiTix3atGkDs9mMmJgY7N27F8CVvhm33HILCgoK8NJLL2Hy5MkAALlcjrlz56JTp05obm6GTCZr8QnvYEIPTU1NKC0tRX19vUdzoFu3buHnHYIghECv10On06G5uRk1NTW4dOkSTp486fEccOWbuRYRJhc7ZGZmYujQoVi9ejXef/99KJVKmEwmtidLREQEYmNjQQjBH3/8gV27dmHlypWQSqWw2WzsDkcikUAqlUImk7E/6b/DCC7U1taioKAABw8exOnTp8EwDNLS0rBq1SosW7aM1xxYvHgxiouLERkZCY1GA7VaHV5oggwMw0Cn07FEQj81NTWorKxEQ0MD9Ho9FAoFjEYjNBoNVq5ciQ8++MDtHNizZ0+4orIdwuRiB7lcjqeffhrjx4/HgAEDMH36dABgyUIikYAQgsrKSsydOxcjRoyARqNBQ0MDEhMToVQqwTAMbDYbbDYbGIZh7bX0PPYaTphwAo/y8nKWUM6fPw+ZTIbevXvjscceQ//+/XH27Fnce++9WLFiBaZNmwbA+RyYMGECrrvuOphMJuh0OjQ1NUEqlUKj0SAyMhIRERFhogkwrFYrSyL0p16vB3ClWoJWq0VDQwMaGxshlUoRFxeHvn37ory8HPv370dtbS1uvfVWbNq0idccuP3229GtWzcxLznoEM7Qt4PJZMIzzzyDn3/+GUajERMnTsS0adNw6dIlNDY2olu3bigvL8eiRYvQuXNnLFq0CDabDbW1tbBYLIiJiUFycjJbdJDeXoZhQAhhCYf+BNBCy+F+whAOhBAUFxfj4MGDOHjwIEpKSqBSqdC3b1/k5eWhf//+iIiIgM1mYzXPjRs3Yu7cubj55ptdzoE333wTMTEx7HM0m83sDtlisUAikbQgmvBmQljQ+001EZ1OB6PRCACQSqVQKBRobm5GfX096urqYDKZIJfLkZaWhpycHKSkpODYsWPYuHEjamtrkZeXhzvuuAPt2rXDt99+63YOdOrUCYsXL2Z9MGFcQZhcONDr9Xjqqafw+++/4+2334ZCocAbb7yBw4cPIy4uDmq1GnV1ddDpdJg7dy6mTZvGlvAghKChoQE1NTUwm82Ijo5GcnIy24mS3mb7280lGy7hAHCo4YR3wPxBCMH58+dZQqmsrIRGo8GAAQMwePBg9O7dm90E0HtPNUu6Mz1y5EiLOaBQKNDU1ITo6GhMmzYN999/PzQaDQgh7LPjPieLxQKdTge9Xg+TyQSJRIKIiAiWbMJE4xmMRmMLbUSn08FsNgO4YnWgZkmj0Yj6+npUVVWhqqoKhBDExcUhOzsb2dnZyMjIgNVqxZYtW7Bx40ZotVpcd911uOOOO5CVlcWORwjBoUOH8Oabb+LIkSPsOtDY2IjIyEhMmzYN9957L7tpCL+ffyJMLv+P5uZmzJ49G+fPn8e7776L/v37A7iiXpeUlODixYswmUyIi4vD5s2bkZeXh/Hjx7c6DyEEjY2NqKmpgclkQmRkJJKTkxEZGdniO9yfFHRBoxoO90PhSMMJT+g/YbPZcObMGRw8eBAFBQWoq6tDbGwsBg0ahLy8PPTo0QNy+Z/WYHqvCSFOTZR0Duzfvx/Lly/HnDlzMGLECERHR7f6LtVQqRZjfx7qPKY7ay7RhLXVP0EIgcFgaEUkVqsVwJWIvsjISERFRSEqKgoMw6C6uholJSUoKyuDyWSCUqlEVlYWSyj0eTU3N+N///sffvjhBxiNRowePRoTJkxAamqqQ1noxqO0tJRdB9LS0tCxY0f2nPS5hwnmT4TJBVcaNc2cORMlJSVYtmyZ2yJ0O3fuxI4dO/D000+7VIWbmppQXV3NOgeTkpIcLkiOyIZOUPrTnmzoZAbQKmDgWvPjWCwW/P777zh48CAOHToErVaLxMRE5OXlIS8vD126dHF4PxxpK65w6dIl/OMf/8Arr7yCtm3bOv2eMy3Gfmwu0RBCoFKpEBkZicjIyBYEeLWDYRjo9foWZi2dTsfeQ7VajaioqBZkAgCXL19GSUkJSkpK0NDQAIlEgpSUFOTk5CA7OxvJycktnntDQwM2bdqEzZs3g2EYjB07FrfddhsSExNdykY3HnyuI0wwf+LamcFOUFdXhxkzZqCqqgrLly9Hly5d3B4zZMgQHDhwADt27MDtt9/u9HsxMTGIiYlBc3MzqqurUVxcDLVajeTkZERHR7ciEPqTSzZcApFKpS1i6bnmNJvNBpPJxH7/ag8cMBqNOHbsGA4ePIgjR47AYDAgPT0dY8aMQW5uLtq3b+/0Baf3DYBf7gu99wzDsORlP4ZMJkN0dDSio6PZxVWn07F+Aboz12g0V1X+hM1ma6WN6PV6VtuLiIhAVFQUq+1ToiWEsGHCJSUlKC8vB8MwiI6ORnZ2NvLy8pCZmemwwVpNTQ2+++47bN26FXK5HOPGjcMtt9zCy0dCyYIPpFIp+8zDBHONk0t1dTUeffRRaLVafPLJJ+jQoQOv45RKJYYPH46ffvoJw4cPR0JCgsvv092WTqdjVXeVSoWkpCTExsa2moRcsrHXarjkQQlHoVCwxzqKVDOZTOwx9qHRoWSK0el0OHToEAoKCnDs2DFYLBa0bdsWt912G3Jzc5GVleXyheaawOg98CekUimrxdhsNqcLjlQqbWHeMRgM0Ov1aGxsRH19PRQKBUs0odSd0mKxtCCS5ubmFo52jUaD6OhopKens0TCXcj1ej0uXLiAkpISlJaWwmAwQKFQICMjA8OGDUNWVhbi4uKcjl9RUYENGzZgx44diIiIwJ133olx48a1MFG7Ajfghi/CBPMnrllyKS8vx6OPPgqLxYIVK1YgJyfHo+Nzc3Oxb98+bN++HXfddRevY+gLZDAYUF1djbKyMlRVVSE5ORlxcXEOJyIfrYb7HUeEY+/DsVqtrBMUCO7AgYaGBvz6668oKCjAiRMnYLPZ0KVLF0yaNAm5ublO7eT2oAs8l2ADAT5aDBdSqZSdJ9TvoNfr0dTUhIaGBsjlctZHo1arA3INfGA0GluF/tI5JpPJEBUVhYSEBJZEHYVn22w2lJaWsqau2tpaAEBycjK6deuG7OxspKWluX12xcXF2LBhA/bs2YPY2Fjcf//9uOGGGzy+X55oLVyECeYKrklyKSkpwSOPPAKZTIYVK1Z41VpWLpfj+uuvx6ZNmzBixAiH7VCdISIiAjk5OTAajaipqcHly5dRVVWFpKQkxMfHu5zQjsjGkVZj/1Mulzt0ZHM1HS7hiBk4UF1dzeag/PHHH5BIJOjRowemTJmC3NxcxMfH8z5XoLUVZ+CrxXBBQ5g1Gg0SExPZPBqaSyOTyVoQTSCeDyU8eyKhjnaFQoGoqCikpqayPhJXi3pdXR1LJpcvX4bNZoNGo0F2djb69euHrKwsNuLSHS5cuIBvvvkGBQUFSEpKwvTp0zF69OgWGy2+8EZr4YL7vN1tKK5WXHPkcvHiRTzyyCOIjIzExx9/7BEp2KN///7Ys2cPtm3bhnvvvdfj49VqNbKyspCcnMxmCVdXVyMxMREJCQm8FkKJROJQq+H+5H6He5wjp7F94IDVanUYOEB3/0K9NGVlZSyhFBYWQi6Xo0+fPpg5cyYGDBjgMBDCHbjailwuF30H6UiLcfRsnB2rVquhVqtbEY1Wq/VL0ibX0c4lE66jPTIyEpmZmSyRuPMPGY3GFtqJTqeDTCZDeno68vLykJWV5dLB7ginT5/GN998g2PHjiE9PR2zZ8/GiBEjvN5I0A2br3ObkgpXi7mWcE2Ry9mzZ/HYY48hMTERH374oceT2B4ymQyjRo3C+vXrUVZWhszMTK/Oo1KpkJmZiZSUFNTU1KC6uhq1tbVISEhAYmIi75fEUxOas2uyH88fgQOEEFy6dAkFBQU4cOAAysrKoFKp0L9/f9x2223o168f7x2ro3MHg7biDHRX68vOVqVSQaVSISEhgU0ipETA1Xg0Gg2vc9tsNocZ7fQ5U+JKSkpiI7f4RLQxDIOKigqUlpaiuLgY1dXVAICEhAR07NgR2dnZSE9P9zg6jhCC3377Dd988w1Onz6NnJwcPPPMMxgyZIjPi7j9u+ILrmWCuWbI5dSpU5gxYwYyMzOxbNkyl45AT9C7d2/s3r0b27ZtYwvZeQuFQoH09HRWk6mtrUVtbS3i4+ORlJTk8QvojQnNEdwFDtCaavaBA/bBA4QQnD17lk1qrK6uRmRkJAYOHIj7778fvXv39jkyihteHAzaijNQjcVTU5kjKJVKKJVKxMfHw2KxsJFn1dXVrMZDAwJkMhmb2MkN/TUYDKxckZGRiI6ORlpaGkskniyKjY2NrGZSVlYGi8XCauk9e/ZEdnY2b6e6PQgh+PXXX/HNN9/gwoUL6NixI1544QUMHDhQkGctlNbCxbVKMNcEuRw7dgyzZ89Ghw4d8N5773llYnEGqVSK0aNH46uvvkJRURHatGnj8zlpaYrk5GTU1tairq4OdXV1LMl4Y0MG3JvQ+BANBZ/AAYvFAovFgjNnzuDQoUM4evQompqaEBcXh7y8PAwePBg9evQQRLPgkwwZjPDU4e8OCoUCsbGxiI2NZZtbVVVV4fz589Dr9SyJUc0nMjIS8fHxyMrKQlRUFDQajceLtNlsRllZGUsotLZaWloa+vfvj+zsbCQlJfm0+DMMg3379mH9+vUoLi5G9+7d8Y9//EPwSsT0PRB6U3ItEsxVTy6//vornnzySXTv3h3/+c9/vN4xuUL37t2Rnp6OrVu34uGHHxZsYspkMqSkpCAxMRH19fWoqalBfX09YmNjkZSU5FNYqhAmNEfnpDkJNKnx119/RXNzM5KSkjBs2DD079+/RQ6KwWBo5cvx9P6FirbiCt44/LkghLQqjcJ1tEulUsTGxrL3mlb1pRqNJxsWQgiqqqpYU1dlZSUIIYiNjWUTGDMzM73eBHFhtVqxc+dObNiwARUVFejXrx8effRRdO3a1edz28MfWgsX1xrBXNXksnfvXjz77LPo378/lixZ4rfQTYlEgvz8fHz++eesqi4kZDIZkpKSkJCQwJJMQ0MDWyRTiOvim1vD/cmFwWDA0aNH2aRGk8mEzMxMjBs3Drm5uWjbtm2L4+wDB7iVo/lGqvk7GTLQ4KvFEEJalI6n/6b3QqVSISoqChkZGaxZi7sRoY56vV7fImmT+lUcmSabm5tZzaS0tJQtr5KZmYkRI0YgKysLMTExgt0Ls9mMbdu24bvvvkNNTQ3y8vLw7LPPon379oKNYQ9/aS1cXEsEc9WSyy+//ILnnnsOw4YNwxtvvOH35LNOnTohJycH27ZtQ4cOHfwyQaVSKRtJRotkXrhwoVWRTF/hSquhPyUSCbRaLQ4fPoyCggIcP34cFosF7du3xx133IHc3FyXAQ6OAgfsQ6OdBQ7QF5K+qMHmsPcVXC3GbDazuS5cIqH3hWa0c3NI3PnmuEmb3NBimkujUCjYAp1VVVUoLi5uUV6lV69eyM7ORkpKiuCLo8FgwJYtW7Bp0yY0NjayxSSzs7MFHcce/tZauLhWCOaqJJctW7bgxRdfRH5+Pl577TVB1HN3oNrLypUrcebMGb/2dpBIJIiPj0dcXBxbJLOwsNBhkUyhxqM/6+vr2aKQJ0+eBCEEXbp0wb333ovc3FyfQrspebgKHDAajbBarS1yd+yDB0IVVqu1hZOd/qSLXnR0NCIjI9kcEiGKXdLIsoiICNTU1OD8+fNsVrzVakVUVBTat2+PPn36oH379n7T/u2LSY4aNQoTJkxAWlqaX8azRyC0Fi6uBYK56sjl+++/x/z58zF+/HgsWLAgoItNu3bt0KFDB2zbts1psUQhIZFIEBcXh7i4OLZI5qVLl1wWyfQGlZWVbA7K2bNnIZPJ0LNnT0yfPh0DBw5EXFxci741VDYhXlQaOCCXy2Gz2aBUKtnzOopUA1pXHAhGwqF5Klwiodcgk8kQGRmJuLg4ZGVlsYs/XZCEWgANBgNr6iopKYHBYIBcLkdGRgb69OmD5ORkKBQK6PV6WK1WVFVVseHNQuXS2BeTHDNmDG677TYkJSUJcIX8EEithYurnWCuKnJZt24d/vWvf+HOO+/ESy+9JMrDys/Px0cffYQTJ06gd+/eARvXVZFMT23hhBCUlpayhHLp0iUoFAr07dsXs2fPxsCBA1tpR0IGBtjDmcPeUcUB7sdRiRuuPydQu1RuRjslE+pjksvlLQo10ox2Zz4mT5MvubDZbCgvL2cd8bS8SlJSErp27cqWV7EnY5q0SUOcuUmb9OOpLDU1Nfj+++/x888/e1xMUmhw72mgcTUTzFVDLmvWrMGbb76J++67D88995xoEUNZWVno0qULtm/fLliYrSfwtEgmBSEEhYWFLKFcvnwZERER6N+/P+644w707duXl0lEqNwa+n2+yZDOStzYm9X8WeKGEOIwo53raI+MjGQLNUZFRXnkC/Qm+bK+vr5FeRWr1YqIiAiPy6vQ0OX4+HiYzWaWaGjSZkREBBt55kom+2KSd9xxB8aPH++XKE4+EDJh0ltwCcZmswWlpu0NrgpyWb58OZYuXYqpU6fiySefFD0UNT8/H++//z6OHTuGAQMGiCKDoyKZ1dXVSEpKYotkMgyDP/74g01qrK2tRXR0NAYOHIjJkyejV69ePvurvM2tESK8mBsEYH9ubvAAN3CAmuHcVRxgGKaVWcve0R4ZGck62iMjIwXx/blLvjSZTC3KqzQ3N0MqlSIjIwODBg1Cdna2z5UpaNJmXFwcr6RN4Eo9v/Xr17coJjl27FjBglC8hZhaCxd0rtK5eTUQTEiTCyEE7733HpYvX46ZM2fi0UcfFX2SAEBaWhp69uyJHTt2oE+fPqI2frIvkllcXIxdu3bhwoULOHXqFJqamhAfH4/c3FwMHjwYXbt29dvE5pNbA8Dv4cV8StyYzWZWJpvNBoPBgKKiIjQ0NOD48eMoLS1lr0Wj0SAqKgopKSkskfh7caCLkdVqRVlZGUpLS9kq2wAQHx+P9u3bsy19/TUHuUmbtISMXq9HTU0NgCuays8//4xjx44hJSUF06ZNw+jRo4OiRw13QxEsuJoIJmTJhRCCxYsX47PPPsMzzzyDhx56SGyRWmD06NF49913cejQIQwePFhUWUwmE44fP85GedEcmT59+uD666/HgAEDRCFAe7KxWq0tyuIDgTNbUI2FmrZoaK5Wq4Ver2drZJnNZshkMqSmprLNvhQKRUADB5qamlqUV+HmnIwcORLZ2dlst8ZAQiaTsb6/EydO4KuvvsLRo0eRmJiIO++8E8OHD0dMTExQbACBP7WWYMPVQjAhSS4Mw+Df//43/vvf/+Kvf/0rJk2aJLZIrZCUlIS+ffti586d6N+/f8B3anq9HkeOHMHBgwdx7NgxmEwmZGdn49Zbb0VeXh7S09NRW1uL+vp6nD9/3uMimUKCmwypUCjYRR7wvjwNH9CMdq5py97RnpqaymojlZWV2Lx5M7p06YLs7Gx2AaB1uQC0MqcJEThAy6tQRzwtr5Kamoq+ffuyLX2pBijWgkkIwfHjx/HNN9/g1KlTyMnJwYsvvoi8vDw2Oq6hoaFFAzRnSZuBkBUILq2FC5pM60vNObERcuTCMAwWLFiA77//HvPmzcPEiRPFFskpRo0axWoMw4cP9/t4TU1NbGOt48ePw2azoUOHDrjrrruQm5uL9PT0Ft8XskimN3DlsBeyPA1XG+ESCSU0pVKJqKioFoUaHQUvUNu8XC5v4YgXOnCAEMIGY5SUlKCyshIMwyAmJgbZ2dlseRX7RdmVL8afIITg0KFD+Prrr50Wk5TL5S0aoHGTNunfNBpNwBqgBavWwkWoNx0LKXKxWq34+9//jp9++gn/+te/MH78eLFFcom4uDgMHDgQe/bswaBBg/zy4tTW1qKgoAAFBQU4deoUAKBbt26YPHkyBg0a5DZfwL5IJi2U6WuRTHfwtNcK3/I09qVRaOl4bg+SqKgotjJvVFSUIEELrgIHaPCAfeAAV7sxGAy4fPkyW17FaDRCoVAgKysL1113HbKzs3mFlPMtISMEvCkmSX1UGo2GrYdGn1VjYyOb40OJxh8LarBrLVyEMsGEDLmYzWb89a9/xc6dO/HGG29gzJgxYovECyNGjMCRI0ewb98+jB49WpBzVlRUsP6Tc+fOQSaToVevXnj00UcxcOBAr3IFuEUy6+rqWJOZEEUyuRCi1wo3iZLmXdCfBoOBPTfX0U5NMIH0LbkKHDCZTCguLma1k4aGBgBAamoqOnbsiDZt2vjkiPe1EKYrCFVMkoYw04gxo9HYwt/ljwZoQGhoLVyEKsGEBLmYTCbMmTMHBQUFePvttwNiYhIK0dHRyMvLw759+zB48GBoNBqPz0EIQXFxMZuDUlxcDKVSiX79+uGJJ55A//79BcsTkMlkSE5OblGJuaGhgSUZX7QvX8KLaUMsrlnLaDQC+LPvPM1op4sRd2caDC9kbW0tSybl5eWw2WyIiopCmzZtMHToUKSnp0OhULD3SafTtaif5mnFAUdajC9ht/4uJkk7bXIboNFnLZVK2fBu+2frCagGGwpaCxehSDBBTy4GgwFPPfUUfvvtN7z77rvIy8sTWySPcd111+HXX3/F7t27ceONN/I6hhCC8+fPs4RSUVGBiIgIDBw4EHfffTf69u3r12Kc9kUyq6urvS6S6WmvFfvS8TqdjvVhUPt8YmIia9Zytav1pPWz0DAYDC1yTvR6PVteZfDgwcjOzkZ8fLxTue3bTTuqOMANHnB2Pb52vjQYDPjpp5+wcePGgBWTtG+ARommqqrKo6RNe4gZ8OArQo1ggppcdDodZs+ejbNnz2LZsmXo37+/2CJ5BY1GgyFDhmDPnj0YOnSo05pfNpsNZ86cYU1edXV1iImJwaBBg/Dwww+jZ8+eAQ8Z9rVIpitthTp37YmE9iBRKBRsxBa3NIqn8nN/+qM8DQXDMCgvL2fJhOZ6JCYmonPnzmxLXz6ah9AVB9wlXzqCfTHJkSNHYuLEiQErJkmhUCjYGnpWq5XNpaEtkyMiIljzmat7G6paCxehRDBBSy6NjY2YNWsWiouL8eGHH6JXr15ii+QThg4dioMHD2Lnzp245ZZb2N9bLBacOHGCbayl1WqRmJiIvLw85OXloWvXrkHxMtAimbGxsdBqtS2KZCYnJ7fKq6AvANVWALSqr6XT6Vo42iMjI5GZmclGbPkjRFXI8jTAlcKL3PIqFosFERERyMrKQp8+fdjCk0LJ7i5wgGo59oED9nXVXDn8ucUkbTYbxo4dG/Biks4gl8tbJG1SHw0NRlGr1SzR2G/ExChO6Q+ECsEEJbnU1dVhxowZqKysxMcff+yXrnOBhlqtxnXXXYft27dj0KBBuHTpEg4cOIAjR47AYDAgPT0d+fn5yMvLa9GpMdggkUjYRDmtVouamhoUFRW1KJJpNpvR1NQEvV7P9iLR6/Xsgkcd7UlJSSyRiFXFwNPyNDabDUVFRSgqKkJxcTHrD0hPT8eAAQPY8iqBfH58Kg446o1DFyaZTAa5XI7a2lq2mKRMJsNNN92EW265BXFxcQG7Fk8gk8nYRFbaAE2n07VogGbfmiBY3ytPEQoEIyHcuhtBgOrqajz66KNoamrCRx99hA4dOogtkiDQ6XQ4cOAAFi9eDK1Wi7S0NLRp04bVULKysoJygriDxWJBZWUlSkpKUF1dDZPJhIiICDZznRIJJZHIyMiQ2T1SExK9vsOHD2PVqlW49dZb0bFjR2RnZyMnJ4d1xAc77AmHLk7l5eXYtGkT9u3bh4iICNx88824+eabRalQLAQYhmFzaQwGA7sA0344/m4cGEhQ60AwEkxQkUtFRQUeeeQRmM1mfPTRR2jTpo3YIvmExsZG/Prrrzh48CBOnDgBm80GjUYDo9GIl19+Gd27dxdbRI9gMplaZbRza3BJpVK2kVdsbCzrsA62Se8OWq22RUtfs9kMpVIJuVyOr7/+Gq+99hp69OgBQDh/jRgoKSnBN998g927dyM6Oho33ngjRo4c2SJAwpPAgWAEN+/JaDSCYRjI5XLWdBaopE1/IlgJJmjMYiUlJXj00UchlUqxYsUKly1ygxnV1dVsUuOZM2cAAD169MCUKVMwaNAgxMTE4J133sGJEyeClly4WdRcIrF3tKekpLCNoyIiIlgHstFoRHV1NcrLy1FTU4PExETEx8cHrcZisVhQVlbGEkpjYyMkEglSU1PRp08ftqVvUVERtm7diujoaIemtFAhmsLCQnzzzTc4ePAgkpKSMH36dOTn50OpVLLaDPWFBaJVgb9BI8uA1rk0MpmsBdEE83U4AzenyZ9Js54iKMjl4sWLePTRR6HRaPDRRx8hNTVVbJE8wuXLl9my9YWFhZDL5ejduzdmzJiBgQMHtooOGzVqFL799luMGDEi4JE39uDaqrlaCV1cVCoVoqKikJmZyUZsKZVKl8mQarUa2dnZMJlMqKmpQWVlJVvuPz4+XvRifIQQ1NTUsGRSUVHRorzKkCFDHJZX4SKQUWhC4cyZM/j6669x7NgxpKWlYdasWRgxYkQLfxfd/VKZFQpFC38Tn8CBYCIc+2dBN0K0ARrVargN0IRO2gwEKKkEU9Mx0cnl7NmzeOyxx5CQkIAPP/wwKCJS3IEQgqKiIpZQSktLoVKp0L9/f9x6663o37+/yzyQvn37Yvfu3di2bRvuv//+gMlNM9q52gjX0R4REcE62imROHK0802GVKlUyMzMZEvLVFVVoaamRpQimTqdjjVzlZSUsOVVMjMzMWzYMGRnZ/vkY+BbnibQC5ajYpJPP/00hgwZ4vT+O0u+9DZwwF1vHH/BXfti2gCNm7RJm71xy9R4mksjFoKNYEQll1OnTmHmzJlIT0/HBx98ELRRKcCViXr27Fk2qbGqqgqRkZEYOHAg7r33XvTp04d36KxUKsXo0aOxbt06lJSU+CUZjSaecbURWr1XIpGw5EGLNXIbOzmDp8mQFEqlMuBFMq1Wa4uck7q6OgBAcnIyunfvzrb09ccLGAxaDS0m+c033+D8+fPo0KFDq2KS7sAn+ZK2KuAGNLjqjWNPON6WAOIDT9o1OErapLk0NGmTEo3YmrcrBBPBiEYuv/32G2bNmoUOHTrgvffec5pYKCZsNhtOnTrF5qDQWlu5ubnIy8vzqY1xz549sXPnTmzbtg1TpkzxSU6q3nOJxGQyAQBbCJCWRqFE4umiJkRnSFokMykpia1fJmSRzLq6uhY5JzabDZGRkcjOzsaAAQOQlZUligNX6NwaV2AYBvv378c333zDu5ikO9k9Tb50RDj2FQcsFgs7RwHhAwfcaS2uYJ+0Sc3GNCmW22lTzEaAzhAsBCPKnTl06BCeeOIJdO/eHf/5z39E65/tCBaLhS2Tf+jQITQ3NyM5ORlDhw5FXl4eOnfuLMjDkkgkyM/PxxdffIGLFy+iXbt2vI6zz2jnOtppDxKaOU9Lo/gCbq8VocwacrlckCKZtLwKNXXpdDrIZDJkZGQgLy8P2dnZSEhI8FleoeEut8b+O3xgtVqxa9cubNiwAeXl5ejbty8eeeQRdOvWTTCZfam27KzigL0fx77Ejb0vh+89oQEWvpK1XC5n87q4SZt03qpUKpZogikcPRgIJuDksm/fPjzzzDPo168f3n777aAIBTQYDDh27BgOHDiAo0ePwmg0IiMjA2PHjkVeXh7atWvnF/NF165dkZmZia1bt2L69OmtSqNQ+y83o50u9HRSZ2RksDkkQsfvU22F7kSFvgeeFsmk3SCpdkLLfyQmJqJjx47IyclBWlpaUO4mncFXE5rZbMb27dvx7bffoqamBrm5uXj66af9lh8mZLVlviVuaAM3Or67wAFftBZX4Ju0qdFogqKNs9gEE9C3cMeOHXjuuecwZMgQvPnmm6ImM2m1Whw+fBgHDx7E8ePHYbFY0K5dO0yYMAF5eXkBCYWm2suqVatw9OhRpKentyASrqM9MjISCQkJLJH4c5fkD23FFbhFMinJ0CKZSqWSjewqKyuDxWJho9F69erFVkG+WsDXhGYwGPDzzz+3KCY5ceJE5OTkBERGf/WMcVfihtuywJkfh8rjz+AJqVTKJgfTjaBer0djYyPbaZNGnom5zolJMAEjly1btuBvf/sbRo8ejddee00UFbK+vp5Najx58iQIIejcuTPuvfde5ObmIiUlxe8yWK3WFmYtrVYLm82GNWvWYOLEiaw5KyUlhSWSQDkQhei14gtooEF9fT3Onj2LP/74Aw0NDVCr1ejYsSP69++P7OxsJCUlhVSYqC+wN6HpdDr88MMPrYpJ2ncZDQT82TPGHnwi1cxmM7uI0pI2gYhUo/OWdtq0b4DGTdpUqVQBn7tiEUxAyGXjxo2YN28exo0bh3/+858BXbSqqqrYKsNnz56FRCJBjx49MG3aNAwcONBpyXMhYDabW2W0Uycm7UESHx+PO++8E19//TViY2NFK9DpaWdIIce1b+lLCEFcXBxyc3MRHx8PuVzOVjcItfwDodDY2IiNGzdiy5YtsFqtGDt2LG699VYkJSWxCzwQ+NwaZ2HLgRjfUeCA1WplM9btAwfoIutNbxy+oJFlERERIIS0yKURM2lTDILxO7l8/fXXePXVV3HHHXfg73//u98vihCCsrIyNgfl0qVLUCgU6NOnD2bNmoUBAwa0quArBGgPEi6RUFsxdbRzCzXaL5KnT5/GL7/8gh49egQ8FyDQ2kpzczOKi4tZZ7zJZIJSqURWVhZGjBiB7OzsVtGDtBKzfZHMqx21tbX47rvvsHXrVkilUofFJN3l1nB/+gtcLYY60wNt46fjchM/6e/59sah74AQ90sikbAN0LhJm3q9vkXSJv34+xkFmmD8Si5r1qzBm2++iXvvvRfPPfec3y6GEILCwkI2B+Xy5ctQq9Xo378/Jk6ciL59+/ocNcUdy1FGO/VRKJXKFvkjUVFRvGyu+fn5+OCDD3D8+HH07dtXEFndQYjwYj6wWCxsf3ja0lcikSAlJQW9e/dGdnY2kpOTXc4P6kjV6XSspqNSqZCUlITY2NirTpupqKjAhg0bsGPHDqjVakyYMAHjx493ujFyFRhAf/qbaLhaDF3QA1nviqs52cslZG8cb2GftMldR6jG400DNE/AJRibzebXzaTfyOWTTz7Bu+++iylTpuCpp57yywSzWCxYu3YtDh48iJqaGkRFRWHQoEF48MEH0bt3b8H8OmazmS2vrtfrW/QgiYqKQkJCAusr8XbMjIwMdO/eHdu3b0evXr38+tC9TYb0FGfPnsWZM2dQXl4OhmEQHR2N7OxsNmDCG0cntW3r9XrU1NSgrKwM1dXVSElJCdkqvlzU19fj008/xZ49exATE4N7770XN954o8ebI75RaP54L33tfOkNPEmYpN9z1xuHYZgWgQNcM5yv0WA0aTMuLg4Wi4UlGpq0qVarERsbK9immAt67fQ6/bXWCFoVmZqgAKC8vBxKpRKJiYktvuNrFFZVVVWL/588eRIajQYJCQmIiYkBwzCCODf1ej37QjAMg/Pnz7O2VPoRoglUdXU1u6PS6XQ4ffo0evbs2SIMVwi/EPcxc52eFEItNPX19ex5i4uLodVqER8fj/j4ePZFEcKcZTKZIJFIYDKZUF9fD5VK1eo++boAlJWVtTiHTqfDsWPH0LdvXzZCLTk52acxgJZz2maz4eTJk0hJSUFKSgqkUiksFosg0YuOtBn7RV+IOcCda87CgkNpHKvV2oJ05HJ5i40RtyGetzCbzZBIJLDZbDAYDDAYDK3y1ITYLNsv9460PaE2HIKSy+uvv445c+a4zDPwdQdDtQZn+OijjzBjxgyfxgCuFNPMzs52OWmEeAj/+9//MGbMGL/eM6D1pAL+nFj070LsYPbt24cBAwbwKvroC8rLy5GamuryXL6O89VXX+Gmm25i/T+0T0hERAT7TIR4Nq7mtMViweeff45p06YJMo67eyLEswnUOO6WLqFyXdyNYzQafdYwaDkkf85nIHD3DBCYXMxmMxYvXoy5c+cGPJGNEIIvvvgCt99+uyB5DwzDoLi4GFlZWX69FqvVip9//pkteR4IUHMF1x7Otcn7AoZhUFBQgD59+vhFpeeOU1lZidTUVL+ZXBiGwbfffovhw4cLoqF4CrPZjM8//xwPPvigYLtWoTLXg2Ecscen0WBChBcTQthSSGJk0/vjngneLMxoNOKdd97B3LlzAxpy/P333yMvL0/Qcv2EEFy6dAnZ2dl+JRibzYYtW7ZgzJgxficY6m/xZ0l0QggKCgrQs2dPvyY4BoJgCCHYtGkT+vfvH9AeQ0ITC8XVTjChSCzcc4pBMP66Z37pRKnX6/Hee+9hzpw5AXHkbdmyBV27dkXbtm39cv6LFy+iTZs2fiXLQBFMoCJ4CCH49ddf0aNHj6uCYDZv3oyePXv6pYK1PfxFLBRXK8GEMrFwzx1IgvHnPfOL9BqNBjNmzMCSJUvc+kh8AX3pO3fu7BdiAa7YOdu1a4dLly759VpkMhluvPFGbN26tUVIpJDwNKLGF0gkEgwaNAgnT56ETqfz2zhSqRSpqamorKz02/ORSCS46aabcOLECZSWlvplDAp/EwvQstKxH/aWAR8HuDqIBbhyz2gZJH+uN4D/75nfqDE6OhrTp0/H22+/7ZebRAjB999/j+7du6N9+/aCn58LSjAXL17060vib4Lxd1y7PSjBnDhxAnq93m/jBJJgfvvtN1RUVPhljEAQC8XVRDBXC7FQBIJgAnHP/Kp3xcbG4uGHH8Y777zDJhkKAYZh8M033yA3Nxdt2rQR7LyuIJVK0bZt25AlGCGjQDyBRCJBbm4ujh8/DqPR6LdxAkUw48ePx/79+1FfXy/ouQNJLBRXA8FcbcRC4U+CCdQ98/tqExcXxxIMt3S2t7Barfjyyy+Rn58f8GJ9MpkMbdq0wcWLFwNmIhPingEQtWmQRCJBXl4eDh8+LNj1OEKgCGbChAnYvHkz29nTV4hBLBShTDBXK7FQ+INgAukHE9Shz9VOaKIeN0Hw448/xpw5c3wa49NPP8Udd9zhMoHRH7HtRqORTWy02WwoLi4WxBxnP2n0ej17bQzDYPPmzbjlllt8Hoc68l1BqFBkCrPZDKlU2iLSbs+ePRgxYoTP49gnhXLzdAghqKys9Hnz4e6FXr16NaZOnerTGMCVahYPPvggKz/NpeFCCHNmsOSFCDVOoPJpDAYD++77K1nT1T0jhKC+vr5VQro3CNQ9AwQml7KyMvbfRUVFbO90CovF4rPj/fLlyy0WK0eJbUKUzueacIxGI86ePYs2bdqwJUYYhhEkQ59rXqmpqcHJkycxcOBANsKKYRhBJpX9Y3aU1yLEpGpqamL/ffr0aej1egwYMKDFuEKUaeGaDEtKSqBQKJCWltZiHF/7aNBmZBT2c41hGEFC38vLy1ny0Ov1OH78ODp37tyii6YQc1qMzHn6f3/MNfsNBtB6YynEOLRaOHCl6CotOMmFr2TpSKO3WCwtNFmhM/Qd5bsBwpGLoHaSzMxM9lNZWYnp06dDq9WyvxMioisjI4MtjZGSkgKDwYAXXngBBoOB/Z0QoNVM1Wo1ysvLIZVKkZKSwv5OCGIBwJZGiY+PR/v27XHx4kXs3r2b/Z0QxAL8aZagE4dqmfa/9xW0JazZbMaRI0eQnp7O/i4mJkaw+l+0NpNSqURCQgK0Wi0YhmF/J0SDpuTk5BYfg8GAf/zjHzAYDEhOThYspyo9PZ2du1999RW2bNmCTp06tZjnQoD7rLkLitBzwP583ChFf4xDQa9J6HFo/T2pVAq1Wt2iijj9+AqFQtHiQ7VvQgj7OyFgf2+4c0FoU5nfjPC33XYbcnJy8P777/triICgubkZtbW1yMnJ8buNUiaTYdSoUTh9+nQLLTAUUVBQgLi4OHTu3NnvY8XFxUGpVLaqOxdqOH/+PH799Vf85S9/CUhUH/WBhDoCGWKvVCohlUr9GpwSCDjTXIWE384sk8kwc+ZM7Nq1C8ePH/fXMH7HpUuXoNFoAlb+o3fv3khOTsa2bdsCMp4/UFlZiaKiIgwaNCggQQQSyZXy/VqtVjAnuxj44osvkJWVheHDhwdkPHvNIhQRiEXSHmq1mi1mGaoIBCH79YnceOON6NSpE5YuXerPYfyGxsZGNDQ0BERroZBKpRg9ejTOnz+PoqKigIwpNA4ePIjExER06NAhYGPGxsZCrVajsrIyYGMKiVOnTuG3337DpEmTArpQhrr2IkaJGYVCAZlMFrLaS6AI2a9nl0qlmD17NgoKClBQUODPofyCoqIitoNkING9e3ekp6dj69atIffil5aWoqysDLm5uQF94YErTm/aUjaUQAjB2rVr0b59e+Tl5QV0bPqM/J0N7g9ww2oDDZVKBavVCqvVGvCxfUWgCNnvW6Trr78ePXr0wNKlS0Nqoayvr0dTU1PAkjS5kEgkyM/PR1FRES5cuBDw8X1BQUEBUlJS/FaOxxWio6MRERERctrLsWPHcObMGdx7772iLJShah4TQ2uhCFXtJZCE7HdykUgkePzxx3H8+HHs3r3b38MJhqKiIsTExAjSqMsbdOrUCdnZ2di2bVvIvPSXLl1CZWVlwHffXNAIQq1WK5oMnoCQK60iunTpErD21vYIRXIRU2uhoJFjoaS9BJKQA2LcHTx4MAYMGIClS5eGhPpdW1uL5uZmUbQWColEgjFjxqCsrAxnzpwRTQ6+IP9fZj8jIwNZWVmiyREVFQWNRhMykWMFBQUoLCzEfffdJ+pCGWoEI6bWQiGXyyGXy0NGewk0IQeEXKj2cvbsWWzdujUQQ3oNQgiKiooQFxcnek/2du3aoX379ti2bVvQk/KFCxdQW1srqtZCkZqaCqPRiMbGRrFFcQmGYfDFF1+gd+/e6NGjh6iycMuzBDuCQWuhUKlUsNlsfi1rJBQctTT2JwIWltKvXz8MGzYM77//flCH8FVXV0Ov14uqtXAxZswYVFVV4cSJE2KL4hQMw+DXX39FTk5Oiyx5saDRaBAVFYXq6uqgXiz37NmD0tJS3HfffWKLAiB0tJdAL5KuECraSyBzgSgCWslw9uzZuHTpEn744YdADssbhBAUFxcjISGB7ZsuNrKystClSxds3749aEn57NmzaGhoQG5urtiisEhJSYHJZApa7cVms+Grr77CoEGD0LFjR7HFYRHs2osYi6Q7qNVqMAzjtz5MQkAMQg4ouXTv3h35+fn44IMPglKNrKyshNFoDBqthSI/Px91dXU4duyY2KK0gs1mw6FDh9C+fXtR+sw7Q0REBGJiYlBVVRWUi+X27dtRVVWFSZMmiS1KCwS79hJMWguFTCaDQqGAyWQSWxSHEIuQA16DfdasWSgvL8eGDRsCPbRLMAyDkpISJCcn+7UtrzdIS0tDz5498csvvwRdZMrp06eh1WqDSmuhSElJgcViEbz3iq+wWCz4+uuvMXTo0KDbyADBq71QmcRqHeEKKpUqaLUXsQg54E+pQ4cOGD9+PD7++OOgYvqKigqYzWbk5OSILYpDjB49GlqtFocOHRJbFBZWqxWHDx9G586dRQvZdgWVSoW4uDhUV1cHVUDETz/9hPr6etxzzz1ii+IQwaq98CkXLxa42ksw3TcxCVmULcCMGTNQW1uLr776SozhW8Fms6GkpAQpKSmt+mgEC5KSktC3b1/s3LkzaHZHJ06cgNFoxKBBg8QWxSmSk5Nhs9mCRnsxmUxYv349Ro4ciYyMDLHFcYpg016CWWuhCEbfi5iELMqTys7OxoQJE7BixYqgKNVRXl4Oq9WK7OxssUVxiVGjRsFoNOLgwYNiiwKz2YyjR4+ia9euiImJEVscp1AqlUGlvfzwww9obm7GXXfdJbYoLhFs2ksway0UUqkUSqUyaLQXsQlZtG3Ao48+Cp1OhzVr1oglAoArpp3S0lKkpaWx3eaCFXFxcRgwYAD27Nkjeujj8ePHYbFYWjQCC1YkJyeDYRjU1taKKodOp8N3332HsWPHCtajxZ8IFu1F7EXSE6hUKhBCgkJ7EZuQRXtaaWlp+Mtf/oLVq1eLGi5aVlYGhmGCXmuhuP7662GxWLBv3z7RZDCZTPjtt9/Qo0cPREVFiSYHXygUCiQkJKCmpkbUcO6NGzfCYrHgzjvvFE0GTxAs2ovYi6QnkEqlUKlUomsvzjpzBhKibgUefvhh2Gw2rF69WpTxLRYLLl++jIyMDCiVSlFk8BTR0dHIy8vDvn37RDMpHj16FIQQ9O/fX5TxvQGtbF1TUyPK+E1NTdi0aRPGjRsXlMEPziC29hIMi6SnoF1QxQxYCoYKBqI+scTERNx///1Yu3atKC99aWkpAIhaC8sbDB8+HBKJBHv27An42Hq9Hr///jt69eoVtMEPjiCXy5GQkIC6ujpRwrk3bNgAiUSCCRMmBHxsXyC29hIMi6SnkEgkUCqVMJvNoty3YCFk0bcDDz30EORyOVasWBHQcc1mM8rLy5GZmQm5XB7QsX2FRqPBkCFDcPDgwYBX/z1y5AikUqloFXx9QVJSEiQSScA3MnV1ddi8eTNuvfXWoKn84AnE0l6CZZH0BlR7EcM3GiyELPpTi4mJwUMPPYR169ahoqIiYOMWFxdDKpUiMzMzYGMKiaFDh0KhUGDnzp0BG7O5uRknT55E37592ZcnlCCTyZCYmIi6urqAVoj4+uuvoVKpcOuttwZsTCEhlvYS6PbFQkIikUClUsFsNgc0SjGYCFl8CQDcd999iIyMxEcffRSQ8YxGIyorK5GVlQWZTBaQMYWGWq3Gddddh8OHDwcsh+PQoUNQqVTo3bt3QMbzBxITEyGVSlFdXR2Q8aqqqrBt2zZMmDAhpMyI9gi09kIXyWDYgXsLpVIJiUQSUN9LMBFyUEgRGRmJadOm4dtvv0VJSYnfxysuLoZcLg/qJDY+yMvLQ0REBHbs2OH3sRobG3HmzBn069cPCoXC7+P5C1KpFMnJyWhoaAhIuOh///tfREdHY9y4cX4fy58ItPYSTIuktwi09hJshBw0T+8vf/kLEhMTsWzZMr+Oo9frUVVVhezs7JCfvEqlEiNGjMCxY8f87kf49ddfodFoRO87IgTi4+Mhk8n83lCstLQUO3fuxB133BGSZkR7BEp7CbZF0hcolUpIpdKA+F6CjZCDRhKVSoVHHnkEP/74I86fP++3cYqLi6FSqYKi74gQGDhwIGJiYrB9+3a/jVFXV4dz585hwIABIRf84AhUe2lsbPSryeKrr75CYmIixo4d67cxAolAaC+0EVgwLZK+gGovFovFrzlWwUjIQfUEJ06ciPT0dLz//vt+OX9zczNqamqQk5Nz1UxeuVyOkSNH4sSJE34LiCgoKEBMTAy6devml/OLgfj4eCgUCr9pLxcvXsT+/ftx9913h7QZ0R7+1l6CsV+Lr6Dai782MsFKyEEljUKhwMyZM7F9+3acOnVK8PMXFxcjIiIiJEpveIK+ffsiISEB27ZtE/zcVVVVuHjxIgYOHBh0k9cXSCQSpKSkoKmpCQaDQfDzf/nll0hPT8fIkSMFP7eY8Kf2EqyLpBDwp/YSrIQcdE/x5ptvRrt27bB06VJBz6vValFXV4ecnJygewi+QiaTYfTo0fjjjz8ED4goKChAfHw8OnfuLOh5gwGxsbFQqVSCay9nz57F4cOHcc8994RsNKIr+Et7CdZFUgj4y/cSzIQcdBJJpVLMmjUL+/btw5EjRwQ776VLlxAZGRlU3RKFRK9evZCSkiKo9nL58mWUlJRg0KBBV+ULT7WX5uZm6PV6wc67du1a5OTkYNiwYYKdM5jgD+0lmBdJoaBWq2G1WgWtEEETJoPx/QzKJ5mfn48uXbpg6dKlgkzghoYGNDY2Bm0jMCEgkUiQn5+PwsJCFBYWCnLOgoICJCUloX379oKcLxgRExMDtVqNyspKQc73+++/48SJE7j33nuD8oUXClR7EYpggnmRFAoKhQIymUww3wu9/8F6z4KSXKRSKR5//HEcOXIE+/fv9/l8RUVFiI6ORmJiogDSBS+6du2KzMxMbNu2zeeXvri4GOXl5cjLywvaySsUUlJSoNfr0dzc7NN5CCFYu3YtOnbsiIEDBwokXXBCSO0l2BdJISGk9hLshByU5AIA1113HXr37u2z9lJXVwetVhuUvcqFBtVeSkpKcO7cOZ/OVVBQgLS0tKta26OIjo6GRqPx2fdy5MgRnDt37qrXWiiEIphgXySFhFwuh0wm89n3EgqEHLTkIpFI8MQTT+DUqVM+ZaAXFRUhNjYWcXFxgskWzOjQoQPatm2LrVu3ev3SX7x4EdXV1cjLyxNYuuBFSkoKDAaD14VACSH44osv0L1795Auj+MJhCCXUFgkhYZarYbNZvOpvl0oEHLQkgsADBo0CLm5uXjvvfe8Kp9QU1MDnU53TWgtFFR7qaio8CqcmxCCgoICZGVlhXx5HE8QGRmJyMhIVFZWerVY7t+/H5cuXcJ9990X1C+80KAOeG8JJhQWSaEhl8shl8u99r2ECiEHNbkAwOOPP47z589jy5YtHh1HCEFRURHi4+ODuse7P9CmTRt07NgR27Zt85iUz58/j7q6OuTm5vpJuuBFamoqTCYTmpqaPDrOZrPhyy+/RL9+/dC1a1c/SRe88DY0OVQWSX/AF+2FduYM9vsW9OTSu3dvjBgxAu+//75HTrCqqioYDIZrSmvhIj8/HzU1NTh+/DjvYxiGQUFBAdq2bYvU1FQ/SheciIiIQHR0NKqqqjxaLHft2oXLly/j3nvv9aN0wQtvzWOhskj6AzKZDHK53GPfSyjlAgU9uQDA7NmzUVJSgu+//57X9wkhKCkpQWJiYkj0ePcHMjMz0a1bN2zfvp13VvCZM2fQ1NR0TWotFCkpKTCbzWhoaOD1favVinXr1iEvL++qDtl2B0+1l1BaJP0FtVoNhmE8qs4dSoQcEuTSpUsX3HDDDfjoo494PYiKigoYjcZrVmuhyM/PR2NjIw4fPuz2uzabDYcPH0bHjh2v+pBtV1Cr1YiNjUV1dTWvxXLbtm2orq7GpEmTAiBd8MJT7SWUFkl/QSaTQaFQ8Pa9hBohhwS5AMDMmTNRVVWFr7/+2uX3GIZBSUkJUlJSoNFoAiRdcCIlJQW9evXCzp073dp2T548CZ1Oh0GDBgVIuuBFcnIyLBYL6urqXH7PZDLh66+/xvDhw5GdnR0g6YIXfLUX+p2rORufLzzRXkKNkEPm6bZr1w633HILli9f7rLQYHl5OSwWyzWRn8EHo0ePhk6nQ0FBgdPvWCwWHDlyBF26dLlmQrZdQaVSIS4uDjU1NS4DIrZs2YKmpib85S9/CaB0wQu+2gtdJMO4QrBKpRJGo9HlfQtFQg4dSQHMmDEDTU1N+OKLLxz+3WazoaSkBKmpqVCr1QGWLjiRkJCAfv36Yffu3U7V799//x0mk+mqzyr3BCkpKbDZbE61F4PBgA0bNmD06NFXTW8gIeBIe+H+PxQXSX9DpVKBENJKe+Het1Ak5JDq/JSRkYE77rgDq1atwt13343o6OgWfy8rKwPDMGEThR1GjhyJY8eOYf/+/a1KwJtMJhw7dgzdu3dvdT+vZSgUCsTHx6OmpobtXMnFpk2bYDQacdddd4kkYXBCIpHAZrPh3Llz+Omnn3Ds2DEYjUbk5OQgPz8feXl5iIyMFFvMoALVXgwGAy5duoSffvoJR48eRV1dHbp06YIxY8Zg8ODBIfd+htz24ZFHHoHJZMLnn38OAKivr0dzczOqq6tRVlaGtLS0q6KlrJCIjY3FoEGDsHfvXhgMBtTW1uL8+fOora3Fb7/9BqvViv79+4stZtAhOTkZDMOgtrYWwJW5ptVqUVZWhu+//x433HDDNR384Ag6nQ6vv/46br75ZmzZsgXt2rVDbm4ujEYj/vrXv2LSpEl+6dUU6rBarVi0aBHGjx+PLVu2oH379hg1ahTMZjNefPFFTJo0CSdOnBBbTM9AQhBvvfUW6datGxkxYgQBwH4GDBhANm7cKLZ4QQmtVkseeOAB0q9fvxb3rGvXrmTx4sViixe0KC8vJx988AEZPXp0i/uWmppK1q1bJ7Z4QQWDwUBmz55N+vbtS3788Uei1+sJwzDs59KlS2T+/PmkX79+5Pjx42KLGzSg961Pnz5X1X0LSXL5xz/+QQAQiUTS4oWXSqUEAHn99dfFFjHo8Nprrzm8Z/T/4XvmGK+++mqLuRW+b87x6aefkk6dOpG9e/eSOXPmkDfffJOYTCbCMAw5cuQIGTVqFNm0aRN59dVXybhx40hzc7PYIgcFrtb7FnLk8r///a/FS+7s8+OPP4otatAgfM+8Q/i+8UdzczMZMmQIWbx4MVm7di1RqVRErVaThQsXkoKCAtK9e3cCgFx33XWkuLiYDBkyhGzevFlssUXH1XzfQo5cRo8eTWQymcuXXSaTkTFjxogtatAgfM+8Q/i+8cfvv/9OsrOzyR9//EEaGxvJ9OnTiUwmI2q1mqSmphIApGPHjuTAgQOEYRgyf/588txzz4kttui4mu9bSJFLTU0Nr50k/dTU1IgtsugI3zPvEL5vnuHnn38mXbt2JXV1dYRhGNLY2EjuuOMO9v4kJSWR3bt3E4ZhCCGErF27lkyYMIH9/7WKq/m+hVS0WH19vV+/fzUifM+8Q/i+eQalUtmiw+KFCxdw+vRp9u9arRb79u2DxWIBIQR6vV4sUYMKV/N9CylyiY+P9+v3r0aE75l3CN83z9CmTRuYzWacO3cOx48fxwMPPIDTp0+jY8eOuP3222G1WjFv3jy8/fbbMJvNKCgoQN++fUMuMVBoXM33LaTIJTExEfn5+a0S2uwhk8kwZsyYcA4C/rxn7jKiw/esJcxmM5KSktx+L3zfrmSSX7hwAWazGcuXL8dvv/2G4uJidOzYEZ9//jk+/fRTTJ06FRaLBd999x0OHTqEH3/8MZyAiivVy4cNG3Z13jeRzXIe48cffwxH8HiIcNQTfzAMQz799FMSHx9P4uPjw/fNBRiGIRs3biRDhw4lAEinTp1IUlISeeedd8iqVatIQUEBm6vR2NhIXnnlFbJ9+3Zy4403kkmTJhGbzSb2JQQFPv74YxIREXHV3beQIxdC/szZsP/QyJ5w7kFL/Pvf/251j8L3rDVKS0vJzTffTACQBx54gNTU1LBzLXzf/oTFYiFr1qwhvXr1IgDIsGHDyKZNm4jNZiPr168nSUlJZPbs2eT48eNEq9USo9FIqquryfr160lubi4ZNGgQaWxsFPsyggIffvghkclkpFevXiQ5Ofmqum8hSS6EEHLXXXcRpVLZ4oUfM2bMNbuLdIaVK1cSAOTll18mP/74IxkzZkz4ntmBYRiyYsUKEhsbS9LT08l3333X4u/h+3YFBoOBLFu2jLRv354AIDfddBPZtWtXi+8wDENGjhxJlEolSUxMJL169SK5ubmkbdu2JCEhgTz55JNEp9OJdAXBA4vFQp544gkCgMyePZuYTCZy6NAhMmLEiFb3LT4+PiTvW8iSS9euXcnDDz9MampqyLlz5675UFBH2LRpE5HJZOTRRx9tEboYvmd/ori4mNx0000EAHnooYdIXV2d0+9eq/etsbGRLFy4kKSlpRGJREL+8pe/kCNHjjj87g8//EAAkLVr15LCwkKyfv16snz5crJ9+3bS1NQUYMmDE3V1dWTs2LFEJpOR999/v8XfLBYLe98WLlxIAJBVq1aJJKlvCElyOXv2LAFANmzYILYoQYt9+/aRiIgIMmHCBGK1WsUWJ+jAMAz5+OOPSUxMDMnIyCCbNm0SW6SgQ1VVFXnppZdIXFwcUSgUZPr06eTs2bNOv28wGEj79u3JmDFjQiIPQwz88ccfpHPnziQhIYFs377d7fd79+5N7r///gBIJjxCklzeeustolKpQqbGTqBx8uRJEh8fT4YPH070er3Y4gQdioqKyNixYwkA8vDDD5P6+nqxRQoqFBUVkSeffJJERESQyMhI8uyzz5LS0lK3x82fP58oFApy5syZAEgZetiyZQuJi4sj3bp1I+fPn+d1zEsvvUTi4+OJxWLxs3TCIyTJZeTIkWTcuHFiixGUKC4uJllZWaRXr17hRdMODMOQDz74gERFRZGsrKxrzmfiDqdPnyZTpkwhcrmcxMfHk3nz5vE2AZ4/f56oVCry4osv+lnK0APDMOSdd94hUqmUjB8/njQ0NPA+9sCBAwQA2blzpx8l9A9Cjlzq6uqITCYjy5YtE1uUoENtbS3p3r07adOmDSkrKxNbnKBCYWEhWzb/kUce8egFv9rx66+/kjvuuINIJBKSkZFB3nrrLaLVankfzzAMGT9+PMnJyQlbE+xgMpnII488QgCQOXPmeGyittlsJDU1lcyZM8dPEvoPIUcua9asIQBISUmJ2KIEFXQ6HRk6dChJTEwMmyU4sNlsZOnSpSQyMpLk5OSQn376SWyRggIMw5Dt27ez5sGOHTuSjz/+mBiNRo/P9e233xIAZP369X6QNHRRXV1NRowYQRQKBVmxYoXX55k2bRrp3LmzgJIFBiFHLpMmTSL9+vUTW4yggsViIbfccgvRaDTk4MGDYosTNDh//jy5/vrrCQAyY8aMcLQSuUK23377LcnLyyMASJ8+fciXX37pddCHTqcjbdq0ITfddFPYic/B77//Ttq1a0dSUlLInj17fDoXJe8//vhDIOkCg5AiF7PZTGJjY8m8efPEFiVowDAMmTp1KpHL5WEfwv/DZrORd955h2g0GtK2bVuybds2sUUSHWazmXz66adsf5Dhw4eT//3vfz4TwksvvURUKhU5d+6cQJKGPr7//nsSFRVF+vTpQy5duuTz+Zqbm4larSaLFi0SQLrAIaTIZdu2bQQAOXTokNiiBA1efPFFAoB89tlnYosSFDh79iwZPnw4AUAef/xxj3wHVyP0ej1ZunQpadOmDQFAbr75Zp930hR//PEHUSqV5OWXXxbkfKEOhmHIwoULiUQiIRMnThR07t18881kxIgRgp0vEAgpcnn66adJRkZGWP3+f7zzzjsEAHnrrbfEFkV0WK1WsnjxYhIREUHat29PduzYIbZIoqKhoYG89tprJCUlhUilUnLvvfeS3377TbDzMwxDbrjhBtKuXbtwuDu5kuPz4IMPEgDk73//u+D1vz744AMik8lIbW2toOf1J0KGXBiGIR06dCCPPfaY2KIEBb744gsikUjI3LlzxRZFdJw5c4YMGTKESCQS8tRTT13TEUuVlZXkxRdfJDExMUSpVJLHHnuMd06FJ1i3bh0BQDZu3Cj4uUMN5eXlZPDgwUStVpO1a9f6ZYzS0lICgHz++ed+Ob8/EDLkcvLkSQIgnElNrnSvUygU5MEHHwyZCqn+gNVqJW+88QZRq9WkU6dOZPfu3WKLJBouXrxIZs+eTdRqNYmKiiJz5871Wzi6VqslmZmZ5NZbb/XL+UMJR44cIVlZWSQ9PZ0UFBT4dawBAwaQv/zlL34dQ0iEDLn8+9//JhEREde8Cn7o0CESFRVFxo0bR8xms9jiiIZTp06RvLw8IpFIyLPPPhtyRf2EwokTJ8iDDz5IZDIZSUxMJP/85z9d1kcTAs8//zxRq9WksLDQr+MEO9atW0ciIiLIwIEDeVUw8BXz588nMTExxGQy+X0sIRAy5DJs2DBy2223iS2GqDh79ixJTk4mubm516zpx2KxkNdff52oVCrSpUsXsnfvXrFFEgUHDhwgt99+OwFAsrKyyNtvvx2QOXHy5Ekil8vJK6+84vexghUMw5AFCxYQAGTSpEkB2/AePnyYACBbt24NyHi+IiTIpaqqikgkErJ8+XKxRREN5eXlpF27dqRLly6kurpabHFEwe+//04GDhxIpFIpef755685LZZhGPLTTz+RUaNGEQCkc+fOZMWKFQHbyTIMQ0aNGkU6duxIDAZDQMYMNuh0OvKXv/yFACCvvvpqQIOLGIYhmZmZ5MknnwzYmL4gJMhl1apVBAApLy8XWxRR0NDQQPr06UMyMjIEiZsPNZjNZvLqq68ShUJBunXrRg4cOCC2SAGFzWYj33zzDRk4cCABQPr370/WrVsX8GrXa9euvaY7b5aUlJD+/fsTjUYjWjWCGTNmkHbt2oVExGxIkMudd95JcnNzxRZDFBgMBjJy5EgSFxdHfv/9d7HFCTh+++030q9fPyKTyciLL754Te2YzWYzWblyJenatSsBQEaOHEm2bNkiysLS2NhI0tPTyR133BHwsYMBBw4cIGlpaSQnJ4ccPXpUNDlov5wTJ06IJgNfBD25GI1GEhUVRV599VWxRQk4rFYrueuuu4harW7V8e9qh8lkYku49+zZk/z6669iixQw6HQ68s4775Ds7GwCgNx2221k//79osr0zDPPEI1GQ4qLi0WVQwx89tlnRKVSkWHDhpHKykpRZTEYDESj0YREe+2gJ5fNmzcTAIImgIUCGIYhs2bNIlKplHz77bdiixNQHD16lPTp04fIZDLy97//3atiiqGI+vp68uqrr5KkpCQik8nI/fffHxTa6vHjx4lMJiP//ve/xRYloLDZbOSvf/0rAUCmTJkSNPNwwoQJZMiQIWKL4RZBTy6zZ88mOTk5IWFjFBL//Oc/CQDy8ccfiy1KwGAymcg//vEPIpfLSe/evcnhw4fFFikguHz5Mnn++edJdHQ0UalUZObMmUET5sswDLnuuutI165dQyYEVgg0NTWR2267jUgkErJo0aKgWn8++eQTIpFIRNei3CGoyYVhGJKTk0Nmz54ttigBxYcffkgAXFPhnocOHSK9evUicrmczJs375pYyC5cuEBmzJhBVCoViY6OJi+88ELQBa2sXr06pMJfhcDFixdJr169SHR0NPnhhx/EFqcVKioqiEQiIStXrhRbFJcIanI5duwYAUC2bNkitigBw4YNG4hUKiWzZ88Oqt2Sv2A0Gsnf/vY3IpPJSN++fUV1lgYKx48fJ/fddx+RSqUkOTmZ/Otf/wrKrqH19fUkJSWF3HPPPWKLEjDs3LmTJCUlkQ4dOpCTJ0+KLY5TDB48mEycOFFsMVwiqMnllVdeIVFRUUFj6/Q3du7cSVQqFbn77rsDHmYqBgoKCkj37t2JQqEgr7zyylVfcWDv3r3klltuIQBITk4Oeffdd4O6ssDjjz9OoqKiApJ9HgxYvnw5USgUZNSoUbzbO4uFf/3rXyQyMjKooyeDllwYhiG5ubnkzjvvFFsUweFIIzl+/DiJjY0lo0ePDnkydadxGQwG8sILLxCpVEoGDBhAjh8/HiDJfIen2iTDMGTz5s1kxIgRBADp1q0bWbVqVVASKffaDh8+TKRSacj1EHEFZ8/OYrGQp59+mm0qF4zPxh7Hjx9vkXMUjFYOCSGEIAjAMAzOnz+PLVu24LfffkN9fT3Wr1+P559/HvPmzYNGoxFbRK9hf21GoxE5OTkYPXo0hg4diqqqKgwdOhSpqanYuXMnYmJixBbZI7i7Pu6zO3DgAKZOnYrCwkLMnz8fzz33HORyuYjSu4Yn18aFzWbD+vXr8frrr+Po0aMYNGgQXnzxRdx+++2QSqUBvgrHcHZtI0eOxEsvvQSDwYCjR49CoVCILapX4PPsGhoaMGnSJGzduhX/+c9/MGvWLLHF5gWbzYY2bdqgXbt26NKlC+95GUgEBbnodDosWbIEq1atQteuXTF48GBER0fj4sWL2L17N9LS0rBw4UL07NlTbFE9hrNrKyoqwq5du5CQkICzZ89CJpNh7969SEtLE1tkj+Du+lJTU7Fw4UJ06NABL7/8MhYvXoyBAwdixYoV6NGjh9jiuwTfa+POS7PZjM8++wxvvPEGzp49i/z8fLz44osYPXo0JBKJiFfTEq6ubfv27Th+/DhWrFiBKVOmiC2qV+Dz7GbNmoU5c+agsrIS69atw5gxY8QWmxfotf3nP//BwIEDMXToULfzUhSIqzhdMZHMnj2b9O3bl2zdupXodDry7rvvkjlz5pADBw6Q6upqsmDBAtKvX7+QMp8Qwu/a5s+fTyIjI0OylQDfZ9elSxfSpk0bolKpyMKFC4nFYhFbdLfwdF5qtVqyePFikpmZSQCQCRMmkIMHD4p9GQ7Bd16G4jtHCP9nFxkZSdq2bUvOnj0rtsi8EUrrpejk8umnn5JOnTqRY8eOEYZhiNFoJEOGDGmR42E2m8m//vUvMm7cuJCqBnw1Xxsh/K/vlVdeIfHx8SGVt+LJs+vcuTOJj48nMpmMTJ48OaijjAgJz0tC/qxXN3bs2JC6vlB6dqIaf3U6HZYtW4aZM2eid+/eTs0GCoUCs2bNQlNTE/bs2RNgKb3D1XxtgGfX9/jjj6N79+6orq4OsJTewdNnFx0djeuuuw4XLlzA6tWr0b179wBLzB/heXkFCoUCs2fPhl6vD5nrC7VnJ6on9eLFiygtLcWQIUPw448/gmEYWK1W1NfXAwCOHz+OTZs2AQAyMzNxww03YNu2bbjxxhvFFJsXruZrA67u6/P02m677TY0NzejTZs2YorNC1fzcwOu7usLuWsTTWciV9r1duvWjWzYsIGoVCoilUqJVColAAgAIpFI2N898MADZM2aNeSee+4JyrA7e1zN10bI1X194WsLzWsj5Oq+vlC7NlE1F6VSCavVCoVCgY4dO8JisYAQgpKSEhiNRqSkpCA2NhYAkJqaCqPRCJlMBovFAoVCEVTRN/bw5toUCgUIIUF9XRTeXJ9SqRRZan4IX1voXRshBEajEXq9nl0frobro9dlMBjQ2NgYUtcmKrm0adMGZrMZMTEx2Lt3L4AroZy33HILCgoK8NJLL2Hy5MlXBJXLMWfOHKSlpaG4uBiRkZGIiIiATCaDTCaDXC5n/x0M8PTa5s6diy5dusBsNkMikUAqlUIqlbL/DjakpqaisbHRo+vr2bMnGIZhrysYwTAMMjIyPH52rmzgYoMQAoZhYLPZkJqaelVcm8VigV6vh06ng16vh16vB8MwkMlkMBqNIXl9VqsVBoOB/ej1ehiNRthsNjAMA7VaHVLXJuqqlZmZiaFDh2L16tWIiIhAbGwsYmJiWILg/q6kpAR79uzBzTffDKvVipqaGpSVlaGyshK1tbVoampCY2Mj6uvr0dTUBJ1OB6PRCKvVCiJCKg+9tlWrVvG6tt27d2P48OFoaGhgd18WiwVmsxlGoxFmsxkWiwU2m02U66HQarVYsmQJxo0bh/r6eo+u78YbbwQhBFarFRaLBVarFQzDiHo9wBVCsVgsMJlMMJvNSE9Px5AhQzyal+PGjRP1GrgghMBms7HXZDKZYLFYAFzZ9ITatTEMA51Oh+rqaly6dAmnTp3CqVOncOnSJTQ2NkImkyE5ORlt2rTB9ddfj+uuuy7or89kMqG+vh6XL1/GhQsXcOLECRw/fhznzp1DaWkpmpuboVAokJKSgvbt26N3794YM2YMhg0bFvTXRiGq5iKXy/Hcc8/hrrvuwooVKzBt2jQAYHfrEokEhBBUVlZi7ty5GD58OPr164e4uDgYDAbodDo0NzezOxeFQgG1Wg21Wg1CCEwmEzuWVCptod3I5XK/agQymQzdunXDokWLMHDgQEyfPt3ltU2YMAFDhgyByWRiyUShUEClUkGlUrXYfdLzcDUcf2s3tbW1WLZsGT788EMYjUbcf//9GDt2LJ588klez27EiBGIiYmByWSCRqMBuRIGz16P/bH+3m0xDMPeT2qKlMlk7L18/vnnec/L22+/Hd26dfOrvHyuh+5wKVlLpdIW10R//9xzz+Huu+8O2mszmUzsO003iYQQSKVSREREID4+HhEREVCpVOzCyn1+wfTsGIZhtRCuVsIwDIArkV2UFOjapVQqW1kvgCva2lNPPYUHHnggKK7NHUTP0CeE4Ntvv8WcOXMwfvx4PPLII+yOpFu3bigvL8eiRYvQqVMnPP/882AYBlFRUUhLS2PLUlgsFuh0OvZDCIFcLkdUVBT7sOhCxtVk6ITkko5MJvN5YTMYDHj11Vexbds29OvXDz/99BNuvvlmTJs2zeG1de7cGYsXL2bLvhBCYDabYTAYYDKZIJFIoFKpEBERwfpl6OJIJym9Hi7ZCLFAl5eXY+nSpfjkk08AANOmTcPs2bORkZHBPru5c+e6vb7XX3+dNWVEREQgMTERarWavV56TdzpyCUaIa6FzgEuoXAXYPvv8r027rMLFLjPn84BV8+fO+eD6dpsNlsLItHr9eyGQ6VSITIyEhqNBhqNpsUmi/v8HF0rLR3l7vreeust1k/hK+g7yyUSusGVSCRQq9WIiIhAREQESyQymazV87M3hVNNXyKRQC6XY+PGjUHx7NxBdHIBrkyGV155BQsWLEBOTg678DQ2NiIyMhLTpk3D/fffD41Gg+bmZpSXl4NhGKSkpCA+Pr7VuehE1el0rA8jIiICkZGRiIqKglwuZxcZq9XK/puCSzSUePhqBqWlpXjhhRdQXl6OefPmYcSIEThy5AjeeOMNHD58GHFxcS2ubcqUKbjvvvucTgK686EmPplMxk5SumuzJxv7BZr7AvJdpIuKirBkyRKsWbMGarUajz32GGbOnInExMRW9/vIkSNYuHAhCgoKkJSU5PTZAYBer0dNTQ3MZjOioqKQmJjYqnYVdwHhLopcbY0vPCEUR8e6enb21+ZP0OvgSybc4yjsF+BAXxvX6U7fUbr4ymQyaDSaFmRC57c9ibrT1um9OnbsGN58802X1xcREdHq3rgDwzCsk51LJnQNoddCiYR+HM1rLpnYy0A3mdSXRIOYgmleukJQkAsADBs2DLGxsXjvvfdw8eJFmEwmpKWloWPHjoiOjm7xXYZhUFlZiYaGBmg0GqSnpzuNijCbzSzR6PV6EEKgUCgQGRnJTmRqMqCLEJd0uIubvVnNPnhg//79ePnllxEfH4+FCxeiXbt27N+sVitKSkpaXVtkZCSsVisvM53FYmGJhhACpVLJ7oDsJ6Y92XCvw1WwwJkzZ7BkyRKsW7cO8fHxePzxxzF9+vRWz8AeTU1N2Lt3Lzv5nT077vfr6upgs9kQGxuLhIQEp9fPvQZ7snH2UtovxPS5eWM+dPbs3N0TX+Bsw8BdWF1dizNSsQf32oxGI9LS0tCpUydBro1qqtwPwzDsLp5LJiqVqpX89mZgvs/PZrOxc4PPs3N1r+g7xyUSk8nEHkMtClwyoWsRl0zcaSf24GorSqXS4XcdXVv79u0RExMTFAEKQUEuhw4dwrBhw7B+/XrcfPPNvI/T6XQoLy+H1WpFSkoKEhISXH6fagHUV0MfHp3kkZGRrUiKJipxSYdriqKL1hdffIFPPvkEw4YNw4IFCxAVFcX7Oug5+YZXU3+SwWBgNTOuvdbZMdyFinsNUqkUx48fx+LFi/HDDz8gIyMDTz31FB566CF2Z+cODQ0NKCkpQY8ePXgv4AzDoKGhAQ0NDQCAhIQExMbGurwHXJLhXgP3nHRK08UoWCII3cGZ38QTvxpfUnF2LPVteApqMeB+zGYzgCt+BaqN0ChPZ2Nwr9+Z2csV6LGePnOuVsXVSmggBPX32BOJ/XVw3y8+2okjOai2IpfLPa5ITck7TC7/j+nTp2Pnzp04c+aMx5OCYRhUV1ejrq4OERERSE9Pb7ULcgZnWk1UVBS7o3JmaqBEo9Vq8frrr2P37t24//778cADD7Bajb0vxxXoJPZ0MtlsNvZlsNlskMlkrE3X3ZgMw2DPnj1YsmQJtm3bhnbt2uGJJ57APffcw2pDfBe1qqoq1NbWeuVAtFqtqKurQ1NTExQKBRITE3mRM/c5UF8aJRNK1MHyojmCp34TV/CFVLjn4Esu9N2hRGIwGFhC4BKJRqNxO6c9NXu5kp9PqLvNZnPoZKfXr1QqWQKhP52tKc60E0/eHQo+2oo7+LJBEBqik0tNTQ3at2+Pl19+GXPnzvX6PAaDAZcvX4bFYkFSUhISExM9tqNyfTX2Wk1UVFSrl6SkpAQvvPACKioqMH/+fAwbNqyVWY074Rz5cqiMhBBYLBafcnVo2DLXbEZfDHt7+/bt27Fo0SLs27cP3bt3x5w5c3D77bezDkb7YAHu7svRy1tSUgKz2YwOHTp4JTuVv6amBnq9Hmq1mvXfcME1l3AXI67JRCh/jdDw1m/i7pwUvpKos4WJLsZcMrFarQCumIW4ZOLIROtsLK4mzfWFeQuuOYyCavhcMqEaFfXF2msk9Hhn1+GrduLofBaLxWttxdH5gmFTJTq5LF68GPPmzUNhYSGSk5N9OhchBDU1NaipqYFarUZ6enqrxYkvzGYzmpubodPp2F2NUqlkzWfHjh3D/PnzkZCQgIULF6Jt27ZOZbI3q3GDB7gh0gDYyDBfJgZV8WlIMzWbqVQq/PTTT1i0aBGOHTuGAQMGYO7cubjppptcOkcd2f7td2eFhYVQqVTIzs72Wm4Kg8GAmpoamEwm1ukvlUqdEoqre+Wpv0ZI+Oo34XN+CqGuw2azsVFPlEyMRiOAPx3V3I+njd644d/0nEI8B6vVypriuERiH/LLJRJX75n9ssh9loD32ok9aL6XVCqFQqEQZPMTLNqLqORis9nQvXt3DBs2DCtWrBDsvEajEeXl5TAajUhMTERycrJPk5dqNc3NzWhubsa6devw3//+F7m5ufjHP/6B1NRUr8xZ9qRDtRdKBkKESNtsNmi1Wqxbtw7Lli3DuXPnMGzYMLzwwgsYOXKk13Z5+2CBM2fOIDExEWlpabwclnzQ0NCA6upqWCwWxMTEIDExkTUXeHMvnPlruETj6yInhN/EHYQkFbooUyJpbm5mNQm1Wt0iesvbjZpQZi8KSiD0QzeA9JxUm+KSiTe+C6ppcjUroTYlDMPAbDaDECKItuLo/GJrL6KSy48//ogJEyZg9+7dyM3NFfTchBDU1taipqYGCoUCGRkZvJ3TzqDX6/HKK69g+/btuO+++3D77bezoZRKpZL11URERHj1UGnwgMFgYH/nKESaSzquXlCTyYQvvvgCS5YswaVLlzB27FjMmjULPXv2BCGEjXShSVvewmaz4ffff0dmZiZiY2NbmdM8eSnp4syNEmpqakJTUxMkEgni4+MRFxcnWN6LvXmDyszXXyOk34SPvBTekivd1VMyoSYiuVzOmrWodu6rVuXI7OWpH4lLIvRDTXLUv0jJhMrvi6/CkXYitJbrD23FHsGgvYhKLrfddhuqq6uxb98+vzGsyWRCeXk5DAYDEhISkJyc7NUNp/6VyspKNn8F+LM0Bf3QSaPRaFiy8dR0QBdXuVwOiUTiMCfHUYg0/WkymbBy5Uq8++67qKiowIQJEzBnzhz06tWLlZnaoi0WC6RSKZs7400/e6PRiHPnzqFDhw5sbL19ZJp9KDR3sbHf7XP9U3Re2Gw21NXVobGxEXK5HImJiYKHAnNldeav8YffhI9cFJ6c22w2t8gp4Trdad4X1Uq44bOejsOFvdmLmi/dnY9qUFwSob5D4M+QX65vRKlUeh0dRmV1Nj/tn6Ov94WOR7UVhULh1bvGF9c0uRQWFqJ79+748MMP8dBDD/l9vLq6OlRVVUEulyM9PR2RkZG8j927dy/rX3njjTdc9u0wmUwtfDXAn5nGtGIAnwlKzWTO1GVHIdINDQ1YvXo1PvnkE2i1Wtx111146qmn0KVLF5aoHI1DX2TqUKTRZnwnZmNjI4qLi9GtWzenL4x9VA034IG+0AqFwu1Ozmw2o7a2FjqdDiqVCklJST5rpM5ACYTeYy6ZcJNr/fUCe0Iq1HTLJRO6w6fRT5RMXGnW3ixKXMIFXJu9CCeMnksmjkJ+KZE4i3zkGx1mf23e+k580Ry52oqvlgK+ENs0Jhq5/PWvf8WqVatQWFgYsExSs9mM8vJy6PV6xMXFITU11eWEYhgGq1evxscff4zrrrsOL7/8skf5K7S0BSUbm80GqVTKmh1caTXU/0Id/q5QXV2N999/Hx999BHMZjPuv/9+zJw5E+np6ewCA/y5i3QWIk1femrqo7tFd6Hd1dXVqK6udtuBkbtYO1rEnAULOHpGXKd/ZGQk64/xFe4CGOxfVCH9NfZycMewBzfTnS7SAFitmUsmnuyQ+ZILH7MXjTLjEgndxAB/5r9wiYTvwkvHd+fbs5cTcK6d8IUnWgwtIBoIbcUeYmsvopCLwWBA+/btMXnyZCxcuDDQw6O+vh5VVVWQSqVIT093SBh6vR4LFizArl27MH36dEydOtXnh2Q0GtkEThqBo1KpWPOZvVZDd/jOsvcvX76Md955B6tXr4ZUKsUjjzyCWbNmITU1tcX3HJnVHIVIc8OjKdHQ3RbVZhy9HGVlZTAYDOjYsWOrv9kTCjfk1P6anAULUDkdmZ6am5tRW1sLi8XCZvp7kyvlqd9ECH+NIzgiFWoy4n6oT8pRpruvkYauFiRHznmZTNbCye4o5JfKydVKfFloueM7kt9RKL2QWqY7gqGbQ7qhDJS2Yg8xtRdRyGX16tV47LHHcOrUKbRv3z7QwwO4oqZWVFSgubkZsbGxSE1NZRel4uJivPDCC6iqqsL8+fMxfPhwwce32WwtfDU0AZLrq5HJZA6z9wsLC/H2229j7dq1iIyMxMyZM/HYY4+1qrPmClxzj6v6aoRcyRimGhAN6eQSYWFhIeRyOXJycgD4Vs/LHvZk4yxYoKmpiW336s7p7w+/CR9/jbvj6U+TydQip4RqknK5vFUosD+qD1BTE1c27v2iIe7cHBI6d6hZlUskfE3BnshHCVAikfhFO+EDZwRDtRXgyvsiZoUIMbWXgJMLIQRDhw5FcnIyvv/++0AO7RCNjY2orKwEAKSlpeH333/HvHnzkJSUhIULFwasLzoNqaQlxgGwkTvUPHX27Fm89dZbWL9+PZKTk/H444/j4Ycf9shU5w7OQqQpydDdGF3ooqKicPHiRcTFxSEpKalVDoO39bxcwVmwAMMwaGxsZDP9k5KSEBMT4/d8E2cyckOfAcf5NdTpTn10tFIEdbpzTVyB6ipICZfmetFcF9rvhsrOrfJLyUTokFp7cDcYzjYbgV5IuUsofT+4VSLEhljaS8DJ5ddff8V1112HDRs2YPz48YEc2imsVisuX76MTz/9FOvXr8fo0aOxYMECj5z+QsvD9dX89ttvWLFiBXbt2oXs7Gw888wzmDx5std5B56CajmUdCwWC2vaMxqNKCwsRNu2bZGVlcUuMP5eZLiwDxYwGo2orq6GVquFUqlky8kEwgnvTD66++dqq3THz83NoB9X9bf8IR8tIdTc3AytVsvKJpFI2EKv9k72QN9DmskOuK8YEWhwS7eIra3Y45ohl2nTpmH37t04ffp00DwAnU6Hf/7zn9i+fTvuuOMOTJw4Eenp6YL1efAGhBDs3bsXb7zxBnbs2IF27dph8uTJuOGGG9iyLjQoIFAkQ+WiviCLxYLGxkacOHECqampLLHQhdJRjTV/wd5vQkmGOv01Gg2Sk5NZn0Qgdrm06RU3052+bvYRUTRKzhd/DR9wW+lyo7Wo2UulUkGtViMqKgpRUVEtwpQDDXv/Dl0kuXXjxIa9b8VfeSu+QCzTWEDJhdYRmzdvHubMmROoYV2iuLgYzz//PGpqarBgwQIMHjwYlZWVbG+E9PT0gO/Cf/rpJ7z11ls4ePAgevXqhblz5+LWW29lF3VuwU2GudLrgYY6+8MOTwnFUfkVnU6HoqIidOnSBQzDoLm5mS27QTOPuY5bR20LvE045euEb25ubtFDJi4ursWLJkSeCp+mV852/b76axyBG/LLJRPuzl+pVLJkQk1vdK6LsRi58p1Q30owaCkUjrQVIfJh/AExtJeAtjletWoVAAQkr4UP9uzZg/nz5yMpKQkrVqxgHdIZGRmIiYlBRUUFCgsLHTYlExo2mw0bN27EokWL8PvvvyMvLw/r1q3D2LFj2QlBk/iioqIQGxvLZjBTomlqagKAFo3R+FaIdiaTPaFwd9jAFbs8XaiAK3Z4+0rNNpsNSqWSJRmbzeayBbUjLceV34RG0zlbDGmARGNjI+rr61FeXo74+HhWM+VGtHFl4pKNfUKdu6ZXycnJrInLnsjsQSP2KLhEQ+VylSnODfl11kpXo9EgMTGRbZtNd/+ONLhAGjMcRQZyEy+5Yc3BpK04auIF/Pl8g41kKDkHUp6AaS42mw1du3bF9ddfj+XLlwdiSKdgGAYrV67E8uXLMWLECLz88ssO/SsMw6Cqqgr19fVum5J5C4vFgv/+979YsmQJzp07h5EjR+K5557DsGHDHE4Eulg7chZarVY21Jk2ZqJlPfiW9KBkQhdabpSXI3kuX74MnU6HTp06OTwft10zIS0rNdv7crhEBrTOd+EGCHhr0mIYBvX19WhoaIBUKmUz/em12RMYNXvQHA1KmlQ++/pbXDL3JemOew4u0dAAAOpgp5FbXHnso7W4la7to/dcjekPzcWdduJoTPrdYDCje1IWP9gIJtDaS8DI5X//+x8mTpyIPXv2YNCgQYEY0iF0Oh0WLFiAPXv2YPr06ZgyZYrbl0iv1+Py5cu8m5LxgcFgwJo1a/D222+jpKQEN998M+bMmYMBAwa4PZZP7xeuVtPc3Nyq3TONQgMcEwp39+gKly5dgkQicRtVx3Uac4tzciOMuL4cmtHMDTu113A8bUHNhdVqRW1tLev0T0pKgkajASEtm17R6D1K1HTB5ibB2msUQpAK9RnZl0Th9q3hEgm3CReXKL2tQGwfjuwLnGknfJJPKRmJbQ7jaiueFJoMJoIJtO8lYORy6623ora2Fvv27QvEcA5RVFSE559/HrW1tViwYAGGDRvG+1iG8b4pGRfNzc345JNPsHTpUtTU1OCOO+7As88+ix49evA+B91N08WWDywWS4vGaFarlV3gqdmI2o09eRH++OMPxMTEID09nfcx3P4gNEmT2v7tNROqzvvagtoZtFotiouLUV9fD0IIS3YSifOmV85Cobl+Ek9Ij2pGXCKh4ehAy5BfbgAA0Npfw/03vS/eaHm+7HLto/cA/u197eGoR0ug4WsTr2AhmKuSXC5cuIDu3bvj448/xuTJk/09nEPs3r0b8+fPR0pKChYuXMj6VzyFwWBAeXk5zGazR03J6uvr8eGHH2LZsmXQ6XS477778PTTT3udROoue9/ZMXSB5kYw0UgXrq+Gj/mPEIKTJ08iIyODlzbnyG9Ck/HsC2jyyWim98BdC2ou2diXTaHJodQPJJPJkJKSgszMTI92p478QUDrJlKOmlfZV/m1//BJwLT3G3GJzpW/xtW99YRcfNFOXJ1TTHMYDX32VFtxhmAgmUCaxgJCLs8//zw+++wzFBYW+q3IoDMwDIMVK1bgk08+wfXXX4+XX37Z51pmhPzZlEylUiEjI8NpOHBlZSXee+89LF++HAzD4KGHHsKTTz6JzMxMn2QA4DB73x7cKC+6m7XP9aB5K/btnqnpx94pTWE2m/HHH3+gXbt2DhM5PUleZBhhKjVTLYf6n7RaLbRaLZvpTnefUVFRiI6OZj9yuRyEEDQ1NaGurg4MwyAuLg7x8fG87OpAy0WDqynaN92SSCRsBBm3mKSnmrC92cvelGnvr+HK6W7Rd7cICamdOBtfzOgwf5XFF5tgAqm9+J1c9Ho92rdvj6lTp+L111/351Ct0NzcjAULFmDv3r149NFHMXnyZEFvqqumZCUlJXj77bfx2WefQalUsnW/fO22yYUz8xh3F+uMUFydk/oampubW7V75maKNzc34+LFi+jSpQv7O09ChJ3BvlKzQqGAWq12mbhn3/SKBjQAYBdu+pHL5S5bUEulUmi1Wtbpn5CQgJiYmFYRYxTUye4s5JfKzpWDRv7Z3x93CzMlT24EH1+zl73pjMJRfo2jRciZduKpVsRHTrH8LDRogm6w/FFoUmyCCZT24ndyWbVqFWbMmIHTp0+jXbt2/hyqBah/pa6uDvP/v7+9P0BIy6Zker0ey5Ytw1dffYWYmBjMmjULjz76qN8SMqlpiMbYC1HPiwtuTg1Xq4mKioLRaER9fT26d+/ucAfrS94IBbdSM93x00gzV02vuNnuzq6fENctqBmGgVarZcv7JycnQy6Xt6jw66yVLlcbcbf7t9cAgNYmJS4p2JORt7D30QBwuOj4SztxBrH8LIFo4kUhRNCHL2MHQnvxK7kQQjBkyBCkpqbiu+++89cwrbBr1y4sWLAAqampWLhwoSB93d3h8OHDeO211/DTTz8hNTUVTz31FKZNm+bXdgKUTEwmE5tL4q96XsCfjdGoqam0tBR6vR7dunVDdHQ0YmJiBC9SCPxZ46q+vp7t5QJc0Uji4uIQExPTqumVL6ABB1qtlq26XFlZiaamJqhUKiQmJiIuLo7NYve2KZwjcMnGvucNt+KBv54vHY+aXO1zj/y9EIrhZwmEtuIMYmkxgdBe/HoXCwoKcPTo0YARC8Mw+OSTT7BixQqMHDkS//jHP/zeK6agoACLFi3Cli1b0KZNG7z++usYMWIEG9YqNLhmEbqbpB356I5L6PG4Zi6FQoGEhAQkJSWBYRgYDAaoVCo0NjaioaEBSqWyhS/B08lLNRJnTa9SU1PZiB26o6clZ7y5dhrya+9k51b5TUhIYHvj0KoIGo0GsbGxUCgUbICEECHSXLMUd0GXSCTsM6BaGleD8FaLceQ7kUqvJMVSGbhkx8df4y0CHc0EtNRWfG1X4A3oHKYa6dUEv2ouU6dOxb59+3D69Gm/T5jm5mbMnz8f+/btw2OPPYbJkyf77WERQrBz5068+eab2LNnD7p27Ypnn30Wd955J+RyucdNyfiMZ08odPGiOzzqfxGihpcrvwl30Tx37hwiIyORkZHBkgINDOC2e6Zk42jxt890p05veqyrpleEEDaRkGs2o9Fm9qAhv1wiocmdANiaaNxS8fQ83LlEnf5Wq7VFtQRvQ6TtzWPuCINLBo5Cod35YRyFUTvynXB3t574a7xFIM1hYjbxcoRAazCBIHK/kUt1dTXat2+PBQsW4Nlnn/XHECwuXryIv/71r6irq8OCBQswdOhQv4zDMAw2b96MRYsW4fDhw+jbty/mzp2Lm2++2eFD4tOUzBnoi+yonpcz8nCVve/uurxxwp84cQJpaWlISkpq9Tfak4T6RLjy0+vjagi+Nr2iWhQN7eWGJdMqAfatdO2bV9FnyMcezjAMGhoa0NDQAABISEhAbGwsq2G4C5GmyZf2PgxvclK4C78zHwpXI+L+3h0JOSMNV/4abwgiUOYwugkTu4mXIwTaD+Nv05jf6HrVqlWQSqV+ryO2a9cuzJ8/H+np6Vi5ciWysrIEH8Nms2HDhg1YvHgxTp48iaFDh7Kl+V09mPj4eERFRaGiogIlJSWIiYlBWlqay7IbjgjFvp6XM1AThtVqdZu97yxEmG8xSbrrcxY+q1QqW2T+19bWoqGhgS2dotFokJCQgOTkZCQlJXldA436R7jRWk1NTWxZFLlcjpiYGLaBmH2JFvv7QuHu+mkUWWxsLBvQ0djYyJb3t9ecqPZJqw9wiZWr1ThrQe0KjhZ0e2KjCwl9xr4GBNAIOwou0dBnzje/JlDmMG4TL+qfDCbYR+r5PZpL4t96Y37RXGgdsZEjR+Ljjz8W+vQAWvpXRo0ahb///e+C+1fMZjO+/PJLLFmyBIWFhRgzZgzmzJnjlWZk35QsJiaG/ZujApGelOrgwpF5zJN8E77Q6XQoLCxE586doVKpYLFYWoUC04lr3/SKEMKazyjZcPM+IiIiHF43jRzjEgm3rpZ9FrtarWbDmmn5G/uSM/T+UHj7opnNZtTU1ECv10OtViMpKalF7pN9rhG953Qh5karOQuRdkX89toLPd5+LEcmMUfaE/e+eDMHufJQOPPX+NscxtVWgqmJlysEykzmT+3FL+SyadMm3Hnnndi3bx+vWlmegutfmTFjBh588EFBb47BYMDq1avxzjvvoLy8HLfeeivmzJmDvn37+nReq9WKiooKaLVaaDQapKSksHL7Qij2oDs0boIi4Nhv4g0YhsHly5dx/vx5tGnTpoXJSalUtmrF6+p6aKl6Sjbc3TyVke70HYX8UiJxZ0azr9RMs+FVKhVLwkLMIYPB0KKHTHx8PHt+vkTuLkSaq33YawaeOPjtnfn2odD0fNSE5y1c+Wvo//3l8wimlsOeIhAE40+t0S/kcsstt6ChoQF79uwR+tS4ePEiXnjhBdTX1+Of//wnhgwZIti5tVotli9fjqVLl6K+vh533303nnnmGXTt2lWQ89NdakNDA6vFpKenIyEhwecJZO83oRFWNGHPF9Jy1PSquroaOp0OPXr0aEEknkZsUX8I1UioH4NqG0qlErGxsUhISEBiYiLi4+N9DjemSY/UmU+DAISIFqKLaGNjI2pqasAwDOLj45GYmOjzAsot6kmjnOjCQHfk9mY1b6L17M2zXG3DW02XCy6ZUd+H/Ri+IhS1FUfwtx8mpMjl/Pnz6NGjB5YvX44HH3xQyFNjx44d+Oc//4n09HQsXLhQMP9KbW0tli1bhg8//BBGoxEPPPAAnnrqKbRt29bnc3NfUmoSobunqqoqr5uSuTJ10UWFRmx5sqjxaXql0WhQW1sLuVzOuzYadeDbf+zranGd7AqFokW/GrpQaDQaNrfE052o/XS3r9RMo8Q8JUn6nOn56TOgPWQAsH4fTxYJZ1FhdEGmvhyupsPVcuxNap5qrdRkZR/wYS+Hp5sXel32fgZHAQeeLqrB3HLYW/hTi/GXaUxwcnnuueewZs0aFBYWCtZ+l2EYfPzxx1i1ahVGjx6Nv//974LUKCsvL8fSpUvxySefALjSgvnxxx/3qMKvM3kdEYqjnWRzczMqKipgs9lcNiXzxm9CNRhnSXeEuG96xc12576k58+fR0REhMMaabQUC5dEuC1+qabAJRM+2ojRaGTNZzRkmfZTob4aZ3C3A+Q23GKYP8vruyo5Y7/gOnsONpsNdXV1aGxshFwuZ3vIOIOjhdwTjYESjj3pOAqRdteC2tHC42wu2svpasHi3jN72T3x19gf66yJ19UAfxGMv7QXQclFr9ejXbt2mDZtGl577TVBztnc3Ix58+Zh//79gvlXioqKsGTJEqxZswYRERF47LHHMGPGDCQmJnp9Tq6azyUUPgsCwzhuSsY338QVuMUt6aJPiYQupNTR7azplSOcPHkSycnJiImJaeVktw/5tXeyC7GTpNdCG6NRrYbbGI3bdhbg/1LaNzjjms08zUmxPy+tMKBSqZCUlISIiAi32olQiwnfEGmutkOv0Z0M9mTj7DpoYAFdzPj4hfjk1/haFj9U4C+C8Yf2Iii5rFixArNmzcKZM2cEMSkVFhbihRdeQENDA1555RUMHjzYp/OdOXMGS5Yswbp16xAfH4/HH38c06dPd7mLdAVHhOKLw7y5uRmlpaUwm81ITExky/l7Y3qgeR96vR6NjY1s9BbwZ9tbbkVed/Jyd/ZNTU04efIk4uPj2Q6etMMkl0gClUNANTBabJNqX3y1GmdgGIbtPknPSa+ThrJ6c30GgwFVVVUwGAyIiIhAYmIiuyC6250LDWdmNe6yQMvNexIibU+YlMS4DnxfzGlcDYebDOlLW+9QgT/8MP7QXgQjF0II8vLykJGRgW+//dbn8/3yyy945ZVXkJ6ejjfeeMOnEvXHjh3DokWLsGnTJqSnp+Ppp5/G5MmTvVpwuCYHXwnFkXmBYRjU1tayvpiMjAxeLwwtMEk1E4PBwMpHM81jYmIQHR3t1p/gqOcIN+QXuOIv6tatG+Lj4z0ui+9v2DdGo2YS2qvG3sTnDPRZ0x2/yWRi7wOfSs3257LXTnQ6Herr62Gz2RAXF4eEhISg8Q/QOU6d4vbasyNfDh/thgYhAGil3diHQruD1WptUROMGzHnrb8mlCC0FiO09iIYuRw4cADXX389vv/+e9x4441en4dhGHz00UdYvXo18vPz8dJLL3ntX9m3bx8WLVqEbdu2oX379njmmWcwadIkj6ON7AkFgFfOUU/8Jq6aknGd7vZNr2gJE6qZ0EKSjrL3qXZj/+HW1bJ3sqvVajQ2NqKkpAQ9evQIKvODox0d1Wqor4ZqINzGaPZ9792ZvRxValar1a02AY7MRPbaCSEEjY2NqKurA+Cd09+f4O5oHeXkOAoe4BIPd37Qe8HNv7J/JyjsyYZ7PxjGcRMvX/w1oQohCSZoyWXKlCk4ePAgTp486fWCo9VqMW/ePBw8eBAzZ87E/fff71UC1/bt27Fo0SLs27cPPXr0wJw5czBhwgSPdoXcXSudqN4Qir3pDODvNyGEoLq6GpcvX4bNZkNMTAxrqqHycInElQZhsVjQ2NjIRmg5a6VrH63lCFVVVaitrUW3bt143wd/whMzAS0+SX01XOc9twwMHwc6fRb0nlKioeHfVB7uQukMNpsN9fX1aGxshEwmY3vIiA0+5hJ7suFqJ/bBLDRc2pVT3tEGjC569J2UyWRufSvOyMbeXxPqEIpghDaNCUIutI7YK6+8gqefftqrcxQWFuL5559HU1MTXnnlFeTl5Xl0PMMw+OGHH7Bo0SIcO3YMAwYMwNy5c3HTTTfxvll0EnKzpO0LRPKRw5kTno+N2VHTK5qYJ5FIkJ6ejuzsbFYrcXQNdMHjOtnpC08IaWEechcR5QglJSUwm83o0KED72P8AV9tzwzDoLm5mS2tb7FYIJfLW4Q6uzNJ0udMgwAoYXOLYHoim8ViQW1tLZqbm9ny/v6u7O0K3i449D2ipEOjuOh5+IZI0/GtVivbPE4ul7MEZR8swOdaHJGWUPk1YkEoP4yQ2osghvIVK1ZAKpVi8uTJXh2/fft2vPrqq8jIyMA777zjkX/FarXim2++weLFi3HmzBkMHz4c33//PUaMGMHrBjkiFKlUyjs+nrvTss+idlcTjBDCkoCzplepqansIlVfX4+amho0NDRAo9GwGgiXSByF/CYnJ7PnkMlkXhW35MJsNovuOPV2t2Zv9qLmMalUymo1Op0OtbW1qK6uZp8DJWOa88HdDXNNYxKJhDWbUdJyVanZHgqFAmlpaTAajaipqcHly5eh0WiQlJQkSK8aT0FNd9REyBd00VcoFGAYhtUI7c1q1DdIj3FEOvS7tK0CN++GOvTtx3Xkc7EnES7R0Pc3VP019vlC3spOn7cQ1+6z5mKz2dC5c2fk5+fjo48+8uhYhmHw4Ycf4tNPP/XYv2IymbB27VosWbIERUVFuPHGGzF37lzk5ubyltubel6e+E3sQTPDKZFwne72JVO4CwkhhF2wGhoaUFRUhMbGRra8iL1Zh36ckSO3HIY3OH36NBITE5GSkuLV8b7A2x0a35wU7jj0WWm12lZ5NdzGaK5yObh+LJlMxpof+WrCtFmZxWJBTEwMEhISAh484ctulr4vrt4rbpQat74a1QjpfaMtqh0FD9gHxXgTLGAfhWZ/fKiQja9mMqG0F5/JZePGjbjrrruwf/9+9O/fn/dxWq0WL7/8MgoKCjBr1izcd999vC5Gr9djxYoVWLp0KSoqKjBhwgTMmTMHvXr1cnsst0ovwJ9QnPlNXOWxMAzTIqeE63SnDbUokXBNJ9yQX6qRUHMA8GcYMXVSR0VFoU2bNh6X86e1xzxdqBiGwcmTJ5GdnY24uDiPjvUF3pAKd0dKj+Nj4rTf0QJokSNEtUOFQtGiMZqrhYvWR6PH0pBmPiVnCCFsDxmGYVinf6DMOL4sNt4WpTSbzTCZTKx/hUaaUdDn6KyKtP0z5BsswD0+lP01vhCMUL4Xn8ll/Pjx0Gq12L17N+9j9Ho9HnroITQ2NuLVV1/lrW1cvHgRo0ePRlNTE+655x4888wz6NSpk9vj6A4I+HPHyid0klv0zhO/SXl5Oaqqqtjx7DPdnS3oFy5cQGNjIzueIyc791huU7KUlBSPkkDpy+ppy1yDwYDz58+jQ4cOAfEFeKupcBMEPSkISnMmAMcNtKhMdNNAfTXUH+YuZ4qrhdJKzfHx8by0SIZhUF9fj4aGBkilUmRnZwdEi/F2obKPDuM7Fk1eddTEy1G0Gtc8GR0d7fSe2JMN97rc5WQ589cEUwi+PXwxHYtGLm+//TY6d+6Mm266yenOxP7/v/zyC8rLy9GxY0cMHDgQtbW1iI6ObmH+caYBcGEymVhfxqZNm1BcXIzHH3+81XG0rha1ITpSzR3ddG4rV6790t1x3Nuo1+thsVjYiCtCCCoqKhz6krjHNTU1AbjiK6GTvaioyGFCKvc4rVbLHkP/VlVVhbS0NKfHAK13pDabzeHLcvnyZaSlpUEiuZIJrdVqERsb2+J5BcMujnt9jl4sZ9dHiyc6O87R/ysrK5GcnAyJRMJqJfYRdu7mCY0242quTU1NiI2NbXVcdXU1G45us11pq2wfTSbkM3B3L52N5+44R4uW/bykz4MeZ7FYHPqbdDod206cEo09STiSkQZu0HGpduTu2ryZJ4EGn+Xc3XOj//f12rwiF0IIdu/ejQMHDuCZZ57hbbu32Ww4duwYTpw4gQceeMCnhLHPPvsMOTk5Th33dMJ5kpRFj6Nk5G0GNhc2mw0VFRXIyMjw+Fx6vR4SicSjPB9CCCorK5GSkuLRddu/0FwwDIOKigqkpaWFZEQNnQuueqG48ws4Oqa6uhpJSUmC3ZPm5man5jVCCGpqapCUlCTqAuZLVJKn5jVqvnUWfEI1SHdtHRwdR7V2T4/zdJ4EC7x9br48b5/MYtXV1ViyZAleeukltgwIH9TX1+Ozzz7D448/7tWLuW/fPuh0OowdO9bl9+hk8Mbmy7W1ekuCDHOl70lmZqZXL2JZWRmys7N5H+MtsfB56RmGQWVlJVJTU0OKYNwRC/d73hJMYmKiz5n1BoPBbS93hrlSvUEsgvFlofHURMOXAMIE4x5iEAsA+LRKJCcnY968eZg/fz7bJ50P4uPjMW3aNLz99tsej9nY2IgDBw64JRbgT6c7107KF1xC4oYY8wUhxGtiIYSgpKTEo5YC1BTmDbEA/Nr6pqamorKyspWpMljBl1iAP5+3J3NFIpEgOTkZtbW1Xs0RCup7cWe/l0qlSExMRG1trcfz2Vf4SiyehLfShZ/vc9NoNC1q5/EBvd/chE++x3k6T8SEWMQCCJREabVa8eyzz2LJkiUe7eCqq6uxb98+3H777by+TwjBI488go8//tjjG8V3kXEETyNeKLGkp6d7pTGVlZUhPT2d9730RmPhhlt6ajasqKgIeg3G22ceaA2GNv7yJDiCYRjU1dW1KAnkTwhFLHyO5RKLp/MyrMG0hJjEAviouVDI5XIsWrQITz31lEdsTpP7aISUO7z88st47733PLf9/b8G4+kuhcIT7ceXxZcQgvLycqSkpPidWLj5Hp5AIpEgLS0tqDUYXzYTvmgwdXV1HmkwJpPJY2IBrjyzhISEgGgwoUAsVLawBvMnxCYWQCByAa7kbixYsABvvvmmR8eNHTsW//znP91+b8OGDZg0aZLXmeHeTiIKSk6uQBd6b1ra2mw2lJeXe5SJTf0g3hCLp4EOXFCCqaioCDqC8VVLBbwnmKSkJF4mMrrLBuB1ODeXYPz1DHxZoLwlFk9D47kIE8wVBAOxAH7oRLl9+3ZkZ2fzyj+hMBgMOHLkCIYNG9bqb4QQbNu2DVqtFhMnTvRZPl8WH/rCOIvmqaysRHx8vEcESBeapqYmjzQWhmE89rEIrcpTTStYosiEIBb78wkdRUYIYZuFeVshwf58tbW1SEhIEPQZ+EosnkaFeWOacnW+a9VEFizEAnipuXDLNdh/rr/+eixcuNCjY5RKJfbs2eNwrE8++QQGgwG33Xab0+Mdgbt74n4AsPW1PDmOHuvsuIqKCiQkJECpVLo83h5VVVUwm83sAu3JcSkpKZBIJLzH4xYO9ERGV9+lGkwwgBILINz10Z2pJ8ckJyezSbT2aG5uZpNhhZKROvn9BU/lpIsT3+No3ok3Yzn7LtVgPD2OajCeHudsnogJT+6lEMfZwyvN5dKlS+y/HYWxEkLQrl27FseUl5e3+HtdXV2rXhqOetcfPXoUCQkJ7HGO4t7btGnT6jj7y+IurPTvznaW3H/zTbAyGo3s+WgVYvtsbUfmLr1ez55fq9WydcK4cKQJ0V4iwJXEO0cl8u3Hs78n3MXY1bXR6gbAleCNpqYmxMfHt1hExC5kSeWgcOZT4pPY6GjXbf9/brFEAGhoaEB0dHQLcnP0vGmSLh3LPokScBz6zh3PYrFAr9e3SLZ0Np63sH8PAGGSKB39335RdpRz5ehd5W70CLmS2W9fTsfRvXQ0nv33+KwNjtaQYNJcnCFQSZRe1S6gGeOEENx44404efIk9u3b53CRp+ASh8ViwRNPPIF27dph0aJFLsfq168f+++Ghga0a9cOb7/9Nh566CGXx3FvBMMwbJYvnQzObhT391Qz4uM/oeXvCSG4ePEiZDIZr3Is1Oau1+tRWlrK1o1yB7qYE3Kl7lRjYyPatm3r0qzm6KWmwQ6uwF20GIZBdXU1oqKiPKpn5i2cLVCOYP/M+ZpmuIs9XWjcmZi4RE4J12AwIDs72+WY3LlECGE3F+58L9zxzGYzGhoaEBsbK4hpzRHsN4ue3kuA/zPg3mur1Qqr1eq2VwvQkjhoWX9CiNt5yT0vfeZ8as7Z3xNHG0+xYX+vHZGEu+O4RCNatJhEIsEXX3yBmJgYTJw4EVqtltdxCoUCs2bNwt69e3Ho0CHe48XFxWHAgAHYunWrtyJ7BHtthw/q6+thNBqRkZHB+xiLxYILFy4gIiLCo6RJ4MozyMrKgs1mQ1lZmUfqKzUPenKMWq2GXC7n/azFAL0mT2ta0ZJBni4YcrkcGRkZMBqNqKys9Oi4iIgINDc3e2RSoZqOJ7llgYY30Yh0E0iLUXoC2saa9tXhCxrY4i5Yxx5crT1Y4Y1sVCPzxGfmDD57ABMTE7FhwwaUlJRg8uTJvEMxR48ejZ49e+Ldd9/16MUaM2YMduzY4fFk8BR0Z+Lpy1FRUYG4uDjeUUAMw+DChQuQSCRo3769V05ZpVKJrKws6PV6jxY36vj2NAEwOjoazc3NnorpNfyd00SJhU8iozNEREQgLS2tRctiPqC7bJ1Ox/sYqVQKtVodEHLxRHPkHuPM7OzqGFpe31ttjFaapkVB+YLW//PkPaCLb7D5WezhTdCSEMQCCBSK3LVrV6xZswabN2/GSy+9xOsYiUSCJ598EmfPnsWWLVt4j5Wfn4+mpiYcPnzYW3F5wZudV3V1NaxWq0PfkTNcunQJRqMRHTp08MnEodFokJaWhvr6etTX1/M+zpsKBlFRUTAaja38DsEAukB4svOlGxVfK9zGxMQgMTER1dXVvMlXKpUiMjISer3eo8VNo9G0aLQVTPCUkKi/BHDsl/QEtCmbTqfjvQH1Ng+OBtMEI7yRS6g+LhSCxS7ecMMNWLRoEZYsWYLVq1fzOqZXr14YPXo0Pvjggxb93F2hf//+iIuLw7Zt23wR1y08vdEWiwVVVVVITk7m/YKUl5ejoaEBbdu29ag4pTPExcUhISEBFRUVvHfC1HHqiSZIAxX8rb14+oJQbdMTkqALilBhsElJSYiOjkZ5eTm7YLqDRqOBTCbzyNSo0WjYgAB/gq/Nnvt9T7UWqmUIFRQSGRkJmUzmkbmRRu95qr14G0kVCHjy3PiWgfIEgiYnzJo1C9OnT8fs2bOdhhY7Oqaurg5ffvklr+/LZDKMHDkyIOTiye63oqICUqmUd3fG+vp6lJeXIyMjQ9CmW6mpqYiKikJpaSlv0wB9sfi+iDKZDBEREQHxu3gy2T0t00N7gQhFLBRpaWlQKBQoKyvjRdoSiQRRUVFsxj4fqFQqyGSyoPO7eLMpYxjGbT8VT0DvJ3BlA8Q3gsrTREr78vvBAm82ZYDn1TrcQdCzSSQSvP322xgyZAjuueeeFiHLzpCZmYm77roLn376KW9bdX5+Pg4fPuyRbdsTUDMR35ttNBpRV1eH1NRUXoSk0+lw6dIlJCQktOq5IgQyMzOhUChQUlLCaydGF2RPdm3U7xIsLxZtAOVJEirfyDBPIZVKkZWVBUKu1Jjjc4/UajUUCoXH2os/ycUb85Yn3/ckMsxTSKVSREdHs71v+IBuMjzR4oPNNObNM/NUO+ULwdOqFQoFvvzySzaCjDbAcoWpU6dCLpdj+fLlvMYYM2YMCCHYsWOHj9I6hqf+lsuXL0OlUvEKPbZYLCgsLIRGo0FOTo5PcjoD7VLoSQSZTCbzyCxAX1xPInM8gacvrCe9e3yJDOMLuVyOzMxMGI1G3kmmUVFRsFgsvE1dGo0GJpPJp4rM7uCpaYWv1uJLZBhfeBNBJpfLW3S3dIdgTJ70hlhCglyAKxFk3377LcrKyvDggw+6nfwxMTF4+OGH8d133+HixYtuz5+RkYFu3br5zTTmSZSYVquFVqtFenq62wckRGQYXygUCo8iyKhTk+9CFRERwdq1xYYn7XSFiAzjC7VajbS0NDQ1NfHSspVKJVQqFW+NkJsj5Q94QvCebMiEiAzjC6VSyQY/8DETU03Wk2AAIDhMY96Yw/xFLICfyAUAunTpgrVr1+Lnn3/G3/72N7ffv/POO5Geno733nuP1/nz8/Oxbds2vzxUvuYVavaIjIx02JrWHkJFhvGFpxFk9Jr5mtIiIyP96nfhO+ldddG0h1CRYXzhaQRZVFQUb41QJpNBpVL5hVy8Ma/w+S6NDJNIJIJWFHAFtVoNlUrFO4JMLpezZlN34CbgBgP4Pi+hI8Mcwa/VBseMGYNFixbh7bffxsqVK11+19PEyvz8fJSXl+P06dNCiQvAsx2YJwmTly9fZisMCBEZxheeRpB5klgZHR3tcQit0PAkYVLoyDC+8CSCTC6XQ6PR8I508rffhQ88eWeo9hAoYqGgEXl87quniZW0JqCY8EbL9Pc74PdStjNnzsSjjz6KJ554Art373b53VGjRqFnz574z3/+43YCDBkyBGq1WvBsfRpxxMfEVV5ejvj4eLcJk3V1daioqEBmZiYvDUdoeBJB5klipb9Ckvm+KJ4kTPorMowv0tLSoFQqUVpa6nbRoi3D+WwGNBoNbDYb77BnvvBEE+Eb/OKPyDC+4EaQabVat3OMJlbyjfYTm1yoHO7gr8gwR/D7CBKJBIsXL8awYcNwzz33uPSpSCQSPPXUUzh37hw2b97s8rwRERG47rrrBPe78PW3VFVVwWazuY320ul0KCoqQkJCAlJTU4US02N4EkFGEyvdEbxCoWB9BEKDz4tCNwLutBZ/RobxhVQqRWZmJgC4jSDzJLFSrVZDKpWKpr3wtdv7MzKML2gEGcMwbomb64N0Rxz0esQyjXmyGfNXZJgjBOQpKxQKfPHFF4iLi3MbQdazZ0/k5+fzSqzMz8/H/v37BYtYojff3WJlsVhQXV3tNmHSbDajsLAQkZGRLot6BgLcCLLS0lK3i5sn2osYdcb4Fg4MRGQYX3gSQcY3sVIikSAiIkJQcuHrb+G7WNlsNr9HhvGFJxFkniRWiq29ePKsripyAYCEhAR8++23uHz5Mh544AGXD2zmzJloaGjAF1984fKc+fn5MJlMvBM23YGv7ZhPwqR9ZJjYpbiBPyPIDAaD28WNb2IlDZ8VyizD9wXlkzAZyMgwvlCr1UhPT3cbQcZNrHRnytRoNDAajQHfOfNxCgcyMowv+EaQeZJYKVadMT7vixjEAgSQXACgc+fO+OKLL7B161b89a9/dfq9zMxM3H333fjss89cNkHq3LkzMjMzBTON0agjVzAYDLwSJi9dugSTyYQOHToEzcIG/BlB1tDQ4HZx45NYGRkZCYlEElDthW/CZKAjw/giOjqaVwQZTax0Z3bUaDQghAiqwfPZCQOud8w0MkwqlQbcge8ONIKsubnZpV+Fb2KlGNn6nmiYgSYWIMDkAlzRNhYvXoz//Oc/WLFihdPvTZkyxW1ipUQiwZgxYwRz6vPxt5SXl7tNmBQrMowv4uLikJiYiMrKSpcLF5/ESuofENLvwsfM4i5hUqzIML7gG0HGJ7FSoVBAoVAIahrjE9DibsESKzKMLyIjIyGXy91GkPFJrBQr34XPc+LzPX9AFM/ajBkz8Nhjj+GJJ57Arl27HH4nOjoa06ZNw/fff4/CwkKn58rPz8e5c+dQUlLik0x8TGJ8EibFjgzji5SUFERFRaGsrMzp4sbXqUlLwQTCLMAnYVLsyDC+4BNBxjexUqiQZD6LI593RczIME/AJ4KMb2JlIE1jfM1hQGAiwxxBnFEBvPXWW/g/9r47Pqoye/+ZzCSTNum9UBIINRBKQpOONMWK5auuKyDsoizYdfW3q+vaUERFsSKiq1ixgTSRjkJCDR2SkN7bZDKZfs/vj+x7985kyp3JTCYJeT6ffNBk5t733vfe97znnOc5Z+LEibjjjjtsGo9bbrkF8fHxeOedd2weZ8qUKZBKpe0OjbGdmK2JYILJ4OBgm0aDMcMiIyO9ygwTC8YgKy0ttemdiBFWBgcHg4javbiJeWFYct7WgtUZmGFiIWSQ2SvTw0rt2Lu/gYGBMBgM7W6DIDYkZu8znYEZJhZiGWRihJUdrXdxFJLsSGaYNXht5hmDLCIiAjfffDOUSqXVzzz44IP4448/kJ2dbfU4oaGhGD16dLtDY45CYvX19dBqtTZ7tQiZYZ6qGeZuiGWQOer54krRRVfgqFdLZ2KGiQVjkOl0OpskC9YGWa1W29wZd1R3SkdeS2dihomFVCpFcHCwXQaZGGFlR6n1HRkwbyXwLeHVbUV4eDh++OEHVFZW4p577rE6cVOmTMGwYcPsdqycPn069u3b53J3SsaKsvXCsA6TtgSTnZEZJhZiGGRihJXBwcFuybvYuneOBJOdkRkmFkIGmS0CiyNhpTu6UzpKEDsSTHZGZphY+Pr6OmSQORJWssW8I7wXR3PkbcMCeNm4AP9jkP32229WGWQSSWvHyry8PGzdutXqMVh3SjFlY6zB0W7MkWCyszLDxCIwMBDx8fF2GWSOhJUKhcKj3SkdCSY7KzNMLBQKBaKiolBbW2vVAxQKK20tbizv4qnFzd6i1ZmZYWLhiEEmJgfpaeMixmvpDIYF6ATGBQCmTZuG1atX4+2337bKDhsyZAhmzJiBDz74wKrbOmLECISHh7scGmNei7UJcSSY7OzMMLEIDQ21yyBzJKwUNmdyBfZeGkeCyc7ODBOLyMhIKBQKVFZWWiVZCOtjWQOjJLvandJejN5RDL+zM8PEwhGDzJGwkhkXTxoYe/lGe3/vaHQK4wK0Msj++te/YsWKFdi3b1+bvy9duhRKpdKqsFIqlWLq1KkuJ/XthcTsCSa7CjNMLBwxyOwJK1leoD15F1svhT3BZFdhhomFPQaZI2GlJ7tT2qMe6/X6LsEMEwtWM88ag8yRsNKTehdHGzDh+TsDOs9I0MogmzRpEu68807k5+eb/S0hIQG33347Pv/8c9TW1rb57vTp03HixAm7oktrsNd10p5gsqsxw8TCXg0yR8JKlndx54tlTzDZlZhhYuGIQeZIWMkS/87CXr7F3t+MRiNMJlOXYIaJhUQiscsgcySs9ERozNH8eJsZZg2d6mmQyWTYuHEjIiMjcfPNN6OxsdHs73/+85/h6+uLjz76qM13p02bBiLnu1Pay7fY6jCp1+uRn5/fpZhhYsEYZBzHWWWQ2RNWutqd0t6LaEsw2RWZYWLhiEFmT1gZGBgIvV7vErnFXrjFmtfSFZlhYuGIQWZPWOmp7pSODEuPcXGA8PBw/Pjjj6iurm7DIGPCyi1btlj1bAYPHux0aMxWSKypqQnNzc1ISEgwmzTGDPPx8elyzDCx8PX1RXJyslUGmb2kpru7U9oSTHZlZphY2GOQ2RNWMjajuwy8rc0Xx3FdlhkmFvYYZPaEle5W69s6Tmc2LEAnNC4A0K9fP3z11VfYvXs3nnjiCbO/3XzzzUhISLAqrHSlO6W1kAsRoaKiAsHBwQgJCTH725UrV6DX69GvX79uu7ABrYbCFoPMlrCS5QRcybvYCrlYI1p0dWaYWNhjkNkSVrLulM6ExhyFXKx5jXq9vkszw8TCHoPMlrDSE3oXW3PTWQ0L0EmNC9Cqb3nzzTexdu1aszCYr68vli1bhsOHD+PIkSNm35kxYwYqKytx7tw5UeewtStjgknLDpPl5eVQKpXo06cP/P39XbmsLgV7DDJbwsrg4GC3dKe0JZjsLswwsRAyyIRhMHvCSrbbbi9ssY+6CzNMLGwxyOwJK92l1nfkUXbmd6DTGhcAWLJkCZYuXYqHHnrILJcyadIkDB8+vI2wcuzYsQgICBBNSbbWdVIomBRSixkzLCkpqVsww8QiJiYGCoWiDYPMlrDS2e6U1l4eW4LJ7sYME4v4+Hj4+fmhrKzMbCGzJax0tjultWSwLcFkd2OGiYUtBpktYaU7k/rW5gboXMwwa+jcowOwatUqTJkyBXfeeSfy8vIA/E9YmZ+fj19++YX/rL+/v1PdKa3lW5hgUljmRcgMs9fDpbsiISHBKoPMmrCSdad0JjRmLVFsKZjsjswwsZBIJFYZZLaElaw7pSusMQZrIZfuyAwTC1sMMvacWlKT3dGd0tbGqzMyw6yh0z8hMpkMX3zxBaKjo80YZIMHD8a1116LDz/80CwEwLpTOuL6s0kSLmAGgwHV1dWIjo7mk5TdmRkmFoxBRkRmDDJbwkpWJdkVWBNMdmdmmFgIGWQVFRX8760JKyUS8d0preVbrC1g3ZkZJhZCBpnw3rLcnye8F1vz0mNc3ISwsDD88MMPqKmpwd13381PIhNWbty4kf/s9OnTodfrceDAAbvHtJZvqayshFQq5b0Tk8nU7ZlhYmGrBpk1YaWYHiSA9Z0ZY4EJxWjdnRkmFoxBplKpeAaZLWFle7pTWlKPrwZmmFgwBplWq+XDjuzZtGRQtqcEv+W70dUMC9BFjAvQyiD7+uuvsXfvXjz++OMAWmPRlsLK/v37Izk52WFozLLrJBNMxsXF8VqOwsLCq4IZJhbWGGTWhJWsO6Wz3os16vHVwgwTC2sMMmvCSkZJFuPBW+6OAXM67dXCDBMLxiBTq9Vmz6elsNJVtb4tb7IrGRagCxkXAJg8eTLefPNNvPvuu/jggw8AtHaslMvl+PDDDwG0TgijJNuDZb6FCSYjIiL4/1cqlejbt+9VwQwTC2sMMkthJcsFiMm7WIZehILJq40ZJhaRkZEICQlBRUUF7x0qFAozb9GZ7pSWhBbhIna1McPEgjHIVCoV751YCivbo3exnBPL33UFdCnjAgCLFy/Ggw8+iIcffhh79uxBcHAwL6xkCf8ZM2YgLy8PxcXFVo9hGRKzFEzW1dWhqqoKSUlJbXQuPWjLILMmrFQoFHb7j1iCfVeoobkamWFiERcXB7lczjPIGJFCKKx01J3SctGzfC+uVmaYWCgUCkgkEp5BZk1Y6axa31o4jB2nq6HrjRjAq6++imnTpuH//u//cPnyZdx8881ISkrihZWTJ0+2251S2HWS6H8dJkNCQtDc3Izi4mJERUVdlcwwsUhISICfnx/PILMUVrLulLYYS5YvEfNaWJz6amWGiYUlg4zjuDbCysDAQBiNRpv9SayFxIRe49XKDBMLawwyS2GlK0l9ocfTVZhh1tAlnxqZTIbPP/8cMTExuPnmm6FSqbBs2TIcOXIER44cQUhICDIzM23qXYT5lvr6euh0OiQkJJh1k0xOTu7IS+py8PHxQVJSkhmDTCisdFRgUQihYLKHGSYeMpkMSUlJ0Ov1PBlFKKx0pjulMPTSwwwTD0sGmaWw0hm1vtAIdcUEviW6pHEB/scgq6urw1133YWxY8ciIyMDa9asAcdxmD59Ovbu3dumeZVQHGYymXjBpJ+fH/Lz8yGVSq96ZphYWDLILIWVjkrBsF2d0PPpYYY5B7lcjri4OJ5BxoSVzc3NdrtTCpPGwneihxnmPCwZZEJhJTMOYr0X4Xx0ZcMCdGHjAgCpqan4+uuvsX//fjz++ONYvnw5CgoKsGXLFsyYMQPNzc3Iyckx+44wrizsMMmYYV21m6S3IGSQ1dXVmQkrFQoFdDqd3e6UQsFkDzPMNQgZZGq1GsHBwdBoNDAajXwpGEe9QIQJ/B5mmPMQMsjYZokRUsQYF0uvpasbFqCLGxegtRTMmjVr8P7772Pfvn2YOXMmPvzwQ6SlpSEiIqJN3oWxxIxGI2pqahATE4OampoeZlg7EBoaiqioKFRXV6OlpYX3Xlh3Skvvhb1IQsFkDzOsfRAyyJixbm5uRlBQEIioTa0x4aLH/ruHGdY+CBlkwtyV8D7bg1AX0x3egS5vXABg0aJFWLZsGR555BGkp6ejqakJX375pdXulMy4VFRUQCqVQiqV9jDD3IDo6GieQcaYXxKJBIGBgVbzLkwTwF68HmZY+8EYZOXl5fD39+dFfjKZzGbehZFbDAZDDzPMDWAMsubmZp5B6YiSLNxsAV2TGWYN3eMqAKxcuRLTp0/Hgw8+iGnTpuGLL75AZmYmTp48yQssWbJZp9OhoaEBwcHBKC0t7WGGuQmMQVZaWsozZoTdKYUvF5sL5uX0MMPaDyGDjIUoVSqVWSkYaztok8nUwwxzE4QMMq1W22YTBbQNgQn/uzvdfwm5q3RnJ4BSqcSkSZOg1+uRmJiI0aNH47333sOHH36IG2+8kU9YlpWVoaWlBRzHITAwEP369evZrbkJBoMBhYWFkMlkiIuLw/nz5/Htt9+ioqICRqMRycnJmDZtGrKyshAYGMi/UD15FvdBp9OhuLgYfn5+8PPzQ1FREbZu3YrS0lLo9Xp+DsaOHQt/f38YjUbIZLKeBL4bYTAYoFKp4OvrC6lUisLCQuzcuRNnzpyBVqtFr169MG3aNIwbN45/D7pDnkWIbmVcAKCgoAATJkxAbGwsAgICoNPpkJ6ejieeeAJhYWGQy+UoLi6G0WhEUFAQBgwY0LOwuRkajQbnz5/Hl19+ie+//x6DBg3C2LFjoVAoUFhYiAMHDiA6OhovvfQShg4d2rOoeQDNzc24fPky/vOf/+DHH3/E4MGD28xBTEwMnn/+eQwbNqwnz+IBaLVa1NTU4MMPP8TGjRutvgexsbF4+eWXkZ6e3q0MCwCAuiH27dtHAQEBlJCQQAqFggDwP1lZWfTyyy/TyZMnSaPReHuo3RIajYYWL15Mw4cPp23btlFLSwtxHMf/FBYW0nPPPUcZGRl06tQpbw+3W0Kj0dCiRYsczsHw4cMpNzfX28PtltBoNLRkyRJR70F3nIPuE+ATYNKkSZgzZw7Ky8vbMJWys7Px97//HT/88EMPM8xD+Pbbb7F37168++672LVrF9auXcvTkU+ePIkFCxZg9OjRmD9/Pp566ql29R3pgXV8++232L9/v8M5uO222/Dkk0/2zIEH8O2332LPnj2i3oNuOQfetm6ewNatW828FVs/27Zt8/ZQux2am5tp3LhxtHr1atq4cSPJ5XLy9/enlStXUnZ2Ng0ePJgA0DXXXEPFxcU0btw42r59u7eH3a3QMwfeR88ctDJHuh2mTZtGUqnUrmGRSqU0Y8YMbw+12+H06dOUnJxMFy9eJKVSSffffz9JpVLy9/en2NhYAkD9+vWjw4cPE8dx9Nxzz9Hjjz/u7WF3K/TMgffRMwfdMCxWV1eH3bt3t+mOaAmTyYRdu3bxTZd64B5UVlYiKCiI1728/vrruPHGG6HValFVVYWoqCh88sknyMrKgkQiQVpaGi5fvuy2fuM96JmDzoCeOehGOheGhoYGj36+B/bh5+cHo9HIl3LJz8/H+fPn+b+rVCr8/vvvMBgMICJRRRV74Bx65sD76JmDbmhcwsPDPfr5HthH7969odfrcfnyZeTm5uKee+7B+fPn0a9fP9x4440wGo149tln8eabb0Kv1yM7OxsZGRndj4bpRfTMgffRMwfongn96dOn9+RcvASdTkdZWVm0YMEC+vTTTyk4OJiPLQtjz+PHj6eDBw9ScnIynTlzxtvD7lYwGAz0f//3fz1z4EX0zAFRtxNRAsD27dsxZ84ch5/btm0bZs+e3QEjujpw5MgR/O1vf0NOTg5CQkLw73//G6GhoRg8eDBGjx4NoDUcsGbNGkyYMAErV65EeHg4vvjii25V9sLb0Ol0uO+++/Djjz9i5cqVPXPgJZw4cQKzZ8/GM888c1XOQfe5EgFmz56Nf/3rX1b/xvqGvPzyyz2GxU2oqqrCggULMHbsWBiNRhw4cAAbNmzAiy++iJycHPj7+0OtVkOv10Ov12PIkCF46qmnUF9fjw8++KBbvVDeRmFhISZOnIhNmzbhT3/6U88ceBEmkwlNTU145plnrs458Lbr5Cm8+OKLJJPJaPz48WbhsBkzZvToW9wEvV5Pq1evppCQEIqIiKD333+fjEYjERFxHEdHjx6lSZMmUVhYGKWnp1NWVhb16dOHIiIiaPny5aRWq718Bd0LP/30E4WFhVGfPn0oJyfHbA4iIyN75qADcfbsWYqMjKSsrCzav3+/1TkICAiggIAAKi8v9/ZwPYJuaVwqKiooODiYHn74YSIiqq2tpcuXL1Ntba2XR9Z98Ouvv9KgQYPIx8eHHnjgAaqrq7P6OYPBQLfccgulpqbSunXraPfu3dTU1NTBo+3e0Ov19NhjjxEAuvHGG6m+vt7s7waDgQoKCuj777+nv/3tbwSg28X3OxPy8/MpPj6ehg0bxr8Xwjlg78HFixcpMDCw2+lbGLqlcVm0aBFFRka2ecl60H5cuXKFbrnlFgJAEydOpJMnTzr8zvDhw2nx4sUdMLqrDyUlJTR+/HiSyWS0evVq4jjO7udLS0sJAP34448dNMKrC6WlpdS3b1/q378/VVZWOvz8v/71L/Lz86P8/PwOGF3HotsZlxMnTpBEIqG3337b20PpVmhpaaFnn32W/P39KTExkTZu3OhwISNqZY/5+vrS2rVrO2CUVxe2bdtGkZGRlJSURL///ruo73AcR1FRUfTcc895eHRXH6qrq2nQoEGUnJxMRUVFor6jVqspKSmJbr31Vg+PruPRrYwLx3E0depUGjhwIOn1em8Pp1uA4zjatGkT9e7dm/z8/Ojvf/87qVQq0d8/fvw4AaBDhw55cJRXFwwGAz3zzDMkkUhozpw5VFNT49T3Z8yYQTfeeKNnBneVorGxkUaOHEmxsbF06dIlp777n//8hwDQvn37PDQ676BbGZcff/yRANAvv/zi7aF0C5w9e5ZmzJhBAOi6666jy5cvO32M9evXk0Qiccog9cA2ysvLacqUKeTj40MvvfQSmUwmp4/x+OOPU+/evd0/uKsUzc3NNGHCBAoLC3OphYTJZKLMzEwaNWqUS/PZWdFtjItOp6N+/frRzJkzRYVremAbjY2N9PDDD5NMJqN+/frRli1bXD7W8uXLKS0tzY2ju3rx22+/UWxsLMXFxdHevXtdPs4XX3xBAHpykm6AVqulmTNnUlBQEB0+fNjl4xw8eJAA0IYNG9w4Ou+i2xiX1atXk4+PD50+fdrbQ+myMJlMtH79eoqJiaGgoCB6+eWXSavVtuuYEydOpNtvv91NI7w6YTKZ6PnnnycfHx+aPn26qESxPZw9e5YA0O7du900wqsTjAkpl8vdci9vv/12SkhIoObmZjeMzvvoFsaltraWwsLC6C9/+Yu3h9JlkZ2dTWPGjCEAdNddd1FpaWm7j2kymUihUNDLL7/shhFenaiurqaZM2eSRCKhZ599ltcRtQdGo5ECAgJo9erVbhjh1QmTyUT33nsvyWQy+vnnn91yzIKCAvLz86N//vOfbjmet9EtjMuyZcsoJCSEqqqqvD2ULoeqqipatGgRSSQSGj58OO3fv99tx87Pz+9pytYOHDhwgBITEyk6Opp27tzp1mNnZWXRvffe69ZjXi3gOI6WLVtGEomEvvzyS7ce+8knn6SAgAAqKSlx63G9gS5vXM6dO0dSqZRWrlzp7aF0Kej1enrzzTcpNDSUwsPDae3atW7ZFQvx3XffEQCqqKhw63G7O0wmE7366qsklUpp4sSJVFZW5vZzLFmyhNLT091+3KsBTz/9NAGgDz/80O3HViqVFBMTQ/fcc4/bj93R6PLGZe7cudS3b9925wauJvz22280ZMgQkkgk9Ne//tVjlQv+3//7fxQXF+eRY3dX1NXV0bx58wgAPfXUU2QwGDxynvfee49kMhlpNBqPHL+74pVXXiEA9Prrr3vsHB988AEBoCNHjnjsHB2BLm1cduzYQQDo22+/9fZQugSKiopo/vz5BIAmTJhAx48f9+j5rr/+epo9e7ZHz9GdcPjwYerduzeFh4e3i6EnBn/88QcBoGPHjnn0PN0J7777LgHweE7EaDRSeno6TZgwoUszX7uscTEYDDRkyBCaOHFil56AjoBGo6Hnn3+eAgICKD4+nj7//PMOuWdJSUn01FNPefw8XR0cx9Fbb71Fvr6+NGbMGCosLPT4OZubm0kikdDHH3/s8XN1B/znP/8hiURCDz30UIe8O7/++isBoK+//trj5/IUuqxxee+99wgA5eTkeHsonRYcx9EPP/xAffv2JV9fX3ryySc7rGhkTU1Nl385OgKNjY106623EgB66KGHSKfTddi5Bw4cSMuWLeuw83VV/PDDDySVSmnhwoUdupG9/vrrqU+fPl02dNkljUtjYyNFR0f3sF3s4Pz58zRz5kwCQHPmzKGLFy926PnZzqujz9uVcPz4cUpNTaXQ0FDatGlTh5//zjvvpGuuuabDz9uVsHPnTvLz86PbbrvN7YQXR7hw4QLJZDJ65ZVXOvS87kKXNC5PPPEEBQYGukWL0d2gVCrp0UcfJZlMRikpKfTzzz97JWz42muvUVBQULcqZ+EucBxH77//Psnlcho5ciTl5eV5ZRyvvPIKKRSKnjmygUOHDlFgYCDNmTOnQz1KIZYvX04KhaLdwllvoMsZl/z8fPLz8+up6moBk8lEn376KcXFxVFgYCC9+OKLXnWn77rrLho/frzXzt9ZoVKp6K677iIAtHTpUq/OESPEuFIzrrvj+PHjFBoaSpMnT6aWlhavjaOuro7Cw8NpyZIlXhuDq+hyxmX+/PmUmJjYbUokuANHjx6lcePGEQC64447qLi42NtDosGDB9MDDzzg7WF0KuTm5tKAAQMoODjY7eI7V1BZWdnDtrSC8+fPU3R0NGVmZpJSqfT2cOjNN98kHx8fys3N9fZQnEKXMi779+8nAPTZZ595eyidAtXV1bR48WKSSCSUnp7ermKG7kRLSwv5+Ph4RGTWVfHJJ59QQEAApaen04ULF7w9HB7x8fH0zDPPeHsYnQZXrlyhxMREGjp0aKfpXKvX6yktLY1mzJjRpZixXca4mEwmGjVqFI0ePfqqjxEbDAZas2YNhYWFUVhYGL399tseE9u5giNHjvQw+f4LtVpNCxYsIAC0cOHCTtezfu7cuTR37lxvD6NToLy8nFJTUyk1NbXT9bX/+eefCQBt3rzZ20MRjS5jXD799FMC4NbaV10Re/bsofT0dJJIJLRkyRKqrq729pDa4IMPPiCpVOrVWHVnwIULF2jo0KEUEBBAn3zyibeHYxVPP/00JSQkeHsYXkdtbS0NGTKEkpKS6MqVK94eThtwHEfTpk2jAQMGdJlGiF3CuDQ3N1NCQgLNnz/f20PxGoqLi+n2228nADRu3Dg6evSot4dkE0uXLqUhQ4Z4exhexcaNGyk4OJgGDhzYqdtAfPPNNwTgqi76qlQqKTMzk6Kjo+n8+fPeHo5NnDx5kiQSCb311lveHooodAnj8uyzz5Kfnx/l5+d7eygdDo1GQy+88AIFBgZSXFwcffbZZ50+LDh27NhuUXjPFWg0GvrrX//Kty7o7B04L1++TABox44d3h6KV6BWq2nSpEkUGhpKJ06c8PZwHOL++++n8PBwqqur8/ZQHKLTGheWuCopKaGAgAB64oknvDwi90FMUo7jOPr5558pJSWFZDIZPfbYY52CueIIrFfIqlWrvD0Uj8De3OXl5dGIESNILpfTBx980CWSryaTiYKDg2nlypVdYrztgeX16XQ6mjNnDgUGBtKhQ4e8NCrnUFFRQcHBwbRixQqz33fGuZOhk4DjOOTl5WHHjh04deoUtFotevXqhZycHAQFBeGZZ57x9hBdhq1rmzZtGsaPH4/AwECzz1+6dAkrVqzA9u3bMXPmTPzyyy8YOHCgl0bvGMLr279/PzQaDY4dO4Zdu3ZZvb6uBLFz9/3332PBggWIjo7GH3/8gREjRnh55I7Bri06OhoffPABcnNz7T6XXQ325m7MmDFYtGgRfvvtN/zyyy8YP368t4crCnFxcXj66afxj3/8A7Nnz8bly5dFrSnegISIyNuDUKvVeOONN7BhwwYMHDgQY8eOhUKhQGFhIXbu3AmpVIqNGzdi6NCh3h6q07B1bUVFRdi/fz9iY2OxcuVKDB06FCqVCi+88ALeeOMNJCUl4Y033sANN9wAiUTi7cuwCXtzd+DAAbPr62oQM3cvvPACPv30U7z11lu49dZb8fHHHyM0NNTbQ3cI4bUNGDAAY8eORUhIiNXnsivC0dxVV1ejrKwMmzZtwk033eTt4TqFuro6pKamQiqVYty4cXbXFK/C266TRqOhBx98kDIyMmjXrl2kVqvp7bffpkcffZQOHz5MNTU19K9//YtGjBjR5UREYq8tIyODXnrpJYqPj6eAgAB6/vnnuwTTqmfu/kXh4eEkk8lozZo1nTI0YQ3ded6IxF3fc889RykpKV3u+ti1DRs2rNPPndeNy2effUb9+/enkydPEsdxpNVqebX5Rx99REStIqIXX3yR5syZ06WU+WKv7YUXXiAfHx+6+eabqaioyMujFo+euWudu/Hjx3fLa+uK80bUva+vK12bjxedJqjVarz33ntYunQphg0bZjP84+vriwceeABNTU04ePBgB4/SNThzbQ8++CDGjBmDv/zlL+jVq1cHj9Q19Mzd/+ZOIpF0y2vravMGdO/r62rX5tWE/pUrV1BaWopx48Zh27Zt4DgORqMRDQ0NAIDc3Fxs2bIFAJCYmIiZM2fit99+w6xZs7w5bFFw9tpmz57dZa4N6Jm7nmvrnOjO19flrs1rPhO19vwYNGgQ/fDDDySXy8nHx4d8fHwIAAEgiUTC/+6ee+6hL774gu64444uEdvuztdG1L2vr+fauua1EXXv6+tq1+ZVz8XPzw9GoxG+vr7o168fDAYDiAglJSXQarWIiYnhmTexsbHQaDTQ6XTQ6XSQSqXw8fGBj49Pp2RTOXttWq0WPj4+0Ov1kMlkkEqlXr4C+3Dl+mSyTsN8twuZTAa9Xu/Utfn5+Xl51I6h1+tRV1fX7a6NWnPH4DgOPj4+MBgMXf76iAharRbNzc38z8mTJ6HT6brMtXn1be/duzf0ej1CQkJw6NAhAK0vwPXXX4/s7Gw888wzuPfee1sHKpPhkUcewY8//ogxY8Zg5syZmDVrFjIzM+Hn58cbms5icJy9tkcffRQKhQLFxcWIjo6GRCKBVCrlDQ0zpp0BRASTyQSlUunU9SUkJKCgoACBgYEICgpCYGBgpzE4RIRLly4hJycHu3fvRn19vehre+yxx5Cenu7N4VsFx3GoqqpCSUkJSkpKUFlZidraWqhUKqevzdvvkxAcx/HGhBkWk8kEtVoNPz8/aLVap67PXv6iI8DGzowI+2+NRoOGhgb+v3U6HdRqdZe5Nq++2YmJiRg/fjw+/fRTvPvuu/Dz8+O9EgAICAhAaGgoiAgXL17E7t27sXLlSpw+fRobNmzAqlWrEBoaimuvvRazZs3C9OnTERMTAwCQSCRtDE5HLs7OXtv+/fvx4IMPIicnB/7+/ujduzd69eoFf39/6HQ6AICPjw9vaNhPRz44RISzZ89iz549KCkpQXJyMjZs2ID33nvP4fUdPHgQ69atQ0hICNRqNZqamgAAcrkcgYGB/E9HzhER4cqVK8jOzkZOTg4aGxsRERGBmTNnoq6uTvTcHTx4EA8++CC/0LE58cZLXV9fj5KSEhQXF6OsrAwGgwFyuRxJSUm45pprEBAQgKNHj4qet/379+OOO+6AUqlEcHBwh3vUQq+EGRMGiUQCrVYLtVoNrVYLiUSClJQUp967gwcPYtmyZR12PTqdzswbUavVaGlp4f9uNBqh1WrR0tICnU4Hf39/9OvXD7GxsQgLC0NOTo5T71xHXpslvGpcZDIZHn/8ccyfPx/r16/HokWLAPzPMEgkEhARqqqq8MgjjyAvLw/79u3DBx98gA0bNuDYsWPYunUrtm7diiVLloCIMGrUKMyePRuzZ8/GyJEjQUQwGAz8Oa0ZHE8sAhKJBPfffz8WLVrk8Noee+wx3HLLLVi6dCnq6upQUFCA/Px8XLx4EbGxsejbty/i4+MhkUhgMpmg0+n4l0xoaGQymUcWZ47jcPLkSezduxfV1dVITU3FkiVLcOedd+K2224TdX2zZ89GSkoK/P39ERERAQBoaWnhd2kNDQ2QSCTw9/fnvRp/f3+3zw0LIzCDUltbi9DQUGRmZiIrKwspKSmQSCRITEzE/PnzMWrUKNx///12r+3GG2/E4MGD4ePjw89LRxma5uZmlJaW8t6JWq2GVCpFfHw8Ro8ejeTkZMTExKCpqQm1tbUwmUx46KGHsGTJElHzdtNNN2HEiBHQaDRoaWlBQEAAgoODPeZxWvNKLMdnNBr558ZkMsHPzw+RkZEIDg6Gj48PnnrqKVFrymOPPYZ58+Zh0KBBHrmOlpaWNoaErUUymQzBwcEICgqCVCpFc3MzVCoVjEYj/Pz8kJKSgtjYWMTGxsLPzw9NTU2oqanBokWLsGLFClHXduONN3rk2sTC6wp9IsKPP/6IRx55BNdddx0WL16MwsJCKJVKDBo0CBUVFVi1ahXS0tIwY8YMPPLII1Cr1Vi1ahXuv/9+/qWtrq7Gjh07sHXrVuzYsQMNDQ2IjIzErFmzMHfuXFx77bWIiIjgd0DCXZC7vRy9Xs8zOPbv34+nnnoK1113HRYtWtTm2l577TWkpqZizZo1CAkJ4Y9hNBpRXFyMgoICVFdXw9fXF7169UJqaiqioqJgMpn4H6PRCI7j+GuxDKe5urAZjUYcO3YM+/btQ319PQYNGoSpU6fydGk2d4899pjN62Nzt3r1avj5+aGlpQVEBH9/fwQGBvJj0+v1aGlp4Q0Oi58LvRq5XO7ynJSXlyMnJwdHjhxBVVUVgoODMWrUKIwZMwb9+/c3m+/m5mZ8+OGHOHHiBA4dOoTrr7/e5twpFAqsWrUKgwcPbnNO4eIIwC2GRq/Xo6ysjDcm9fX1AIDo6GgkJycjOTkZCQkJ/OLf0tKC6upq6HQ6KBQKREdHQyaTOTVvISEhICJ+Qec4DgEBAVAoFO0yMkIjYumVsMVSuGiyRZrt1oOCgqBQKNrkFYgIX375Jf7f//t/Nudu1apV6N+/P1555RWEh4e36zoMBoOZEWlubuafcwC8QQ4ODkZgYCCMRiOUSiWqqqr4dSIsLAxxcXGIiYlBeHg4/4wYjUZUVVWhpaUFISEhiIyMxObNm52aO2/B68YFaH0YVqxYgU8++YS/uf7+/lAqlQgKCsKiRYtw9913IzAwEI2NjXjsscfw8ccfY9q0afjoo4+QkpJidjyj0Yjs7Gxs27YNW7duxfHjxyGRSJCVlYW5c+di7ty5GDlyJCQSCTiOg8lksup2u+LltLS0QKlUws/Pj39Ijh8/jldffRXHjh1DWFiY2bXddNNNmDt3LoYOHWrToDU3N6OgoABXrlzhY64pKSno06cPX0OIxZ2ZsTGZTPy1+Pj4mBkbR6ENvV6PI0eOYP/+/WhubkZ6ejqmTp2K+Ph4q3N3/PhxrFy5EkePHkVERITNuWOf12g00Gg0AIDAwEAEBAS0OS4Ld7S0tECj0YCIIJPJnMrXVFdXIycnB9nZ2SgtLUVAQABGjhyJrKwsDBo0yOp9UKvVWLduHVpaWrB48WIUFRXZnLtFixYhKysL1dXVGDRoEJKSkmyOxVVDw3EcKisrzfImRASFQoFevXohOTkZSUlJbe6hTqdDTU0N1Go1AgICEB0dbfYZNm+W19bY2Ijg4OA28yb8HtuRm0wm+Pv7Q6FQwNfX1+51CMNb7F/hvbA0JgwajQYqlYpfrAMDA6FQKBAQEGDz3ul0OrS0tODSpUtYvXq1zbm7++67IZfLYTQa+XfE3nywZ9fSkOj1egDgDR4zJMwzMZlMqK6uRlVVFaqqqnhCRUxMDG9QrG2cGhsbUVdXBx8fH8TExCAoKMjh3AUEBGDx4sW45557vF5frFMYF4PBgMzMTMyZMwdLlizBlStXoNPpEBcXh379+kGhULT5zq+//orFixejpqYGL730EpYtW2Zz0aysrMT27duxdetW7Ny5E0qlEjExMZg9ezbmzJmDmTNn8qEaYXxX+MNgy8shIjQ1NaGlpYXfUQkfVKPRiJKSkjbX5u/vj/z8fCgUCiQmJtq9T8zlLSgoQElJCTiOQ1xcHFJTU5GUlNTGODHDyYyNyWTir8Eyd+Pj4wONRoPff/8dhw4dglarxciRIzFlyhRERUU5nMOWlhacPXsWjY2NMBqNdueOja2lpQVarRZSqdSuZ8JxHB+WUavVfA7Kz8+PNzQsX1NfX88blMLCQsjlcmRkZCArKwtDhw61a5A0Gg3WrVsHlUqFxYsXIzo6GoDtuWPXdvHiRRQXF2PIkCFISEhweK8cGZr6+noUFxejpKSkTd6EGRRb9cuMRiNqa2uhVCrh6+uL6Ohom3NgeW01NTWIiopCVlaW3e+wa2ALrdFohFwuN/MiLPMkwiiBpTGxBPMEVCoVH/Zii7WjjZHJZIJKpYJcLkdAQIDDuWNjFYarfHx8zEJvwrAWWwvkcnkbI8IMHhHxngnzTogIoaGhfKgrIiLCpiHT6/Worq6GRqNBaGgooqKirN4ny2uLiYnhf9rj5bsLncK4/PTTT3jggQewZ88epKWlif5ec3Mznn76abzzzjsYO3YsPv74Y4cxRoPBgMOHD/O5mtzcXPj4+GDcuHGYM2cO5s6di4yMjDYTb83gsFvHmFMcxyEiIgJBQUH8SyQGSqUSZWVlSEpKEu3GGgwGFBUVoaCgALW1tfDz80OfPn2QkpLCG0pLCL0b9sNxHJqbm3HkyBEcPXoUHMchKysLU6ZMsXkca2A7TEaoEAvGlGG7uaCgIIceiclk4g1NS0sL6uvrcfbsWZw7dw6lpaXw9/fHiBEjMHbsWAwbNkwUHVOr1eLjjz9GQ0MDFi9ejNjYWKeu4/z58ygtLcXQoUOteni2QERQqVS8Z1JaWoqWlhbIZDLEx8cjOTkZvXr14hmEtsBxHBoaGlBfXw+JRILIyEiEhYU5FYJTKpVQq9WiDKQQLS0tUKlUPE02KCiIX9wsPRJb4+E4jl/MGS2fLdzOLJQqlQoAEBwcLPramZFsbGyESqWCRqPhjQ0LzVoaEktPzWAwmHknOp0OMpkMMTExvEHx9/e3Ow4i4r0VmUyG2NhYq169PTAD6Ghz0BHoFMbl5ptvhlQqxXfffefS9w8ePMjHHp977jk89thjDt10htLSUt6r2bVrF1QqFeLj4zF79mw+V2Nrl8i46HV1dfzORLizciasVlpaCrVajdTUVKfjv01NTSgoKEBBQQG0Wi3CwsL4sJm9B1qpVGLPnj04cuQIJBIJn9QODg4GADOigCMqNIuFR0ZGOjV2BoPBALVaze+CAwMD7e5Sm5ubcfz4cWRnZ+PcuXMwmUxITU3FoEGDkJaWxofbmGdjb4HS6XT45JNPUFNTg/vvv98p48BARDh//jzKy8uRnp5u1zgJ8ybFxcV83D0qKor3TuLj4+Hr6ytqgVQqlXyyPjw8HJGRkS7lDNVqNerr65GUlOTQkFlLujOqLEtKh4SEOFwctVotVCoV1Go1iIjP5QjzcWKh1Wqh1WqhUCisPjtsI2PpkTCP3tfXF/7+/jzrKiwszO44hN5JfX09iAghISFm3onYedDpdKiuroZWq+Xn0JXcnNFoRHNzs0dJF2LhdeNy/vx5zJgxAx9++CGuu+46l4+j0Wjwr3/9C6+99hqGDx+O9evXIyMjw6lj6PV6HDp0CFu3bsW2bdtw9uxZSKVSTJgwgc/VDB06lJ90y/wKe5DseTm2wmomkwn5+fnw9/d3ub4YEaGiogIFBQUoLS0FESExMREpKSlISEjgx1dXV4e9e/fi+PHjkMvlmDBhAsaNG8fHaC1zN2LIAkqlEkSEsLAwl8bOwBYoljQWvtwajQYnTpxAdnY2zp49CyLCoEGDkJWVhZEjR/IxaUblVKvVbfI1LGfDXjy9Xo9PP/0U5eXluP/++x2GJu2BUbUrKysxfPhwPqxmMplQVVXFh7qqqqr4hYgl4S3zJtZCZ5aLjVqtRk1NDXQ6HUJCQhAVFSV6U2UNbIGLi4vjj+NM0p2Nj9Ft2e49ODjYLEfCFkDGjvL19eW9AlcXRHZMf39/nr4v1IwwrQhj8AmT7OyHebjs2bfMwxiNRjPvhAmDo6OjeYPirKdBRLzH6evrK8rDcQSVSgUfHx/+ffAWvG5cnnzySfz666/Izs52i6U9evQoFi5ciPPnz+PJJ5/EP/7xD5fjj0VFRdi2bRu2bduGXbt2oaWlBUlJSZg9ezamTJmCrKwsxMbGigplOcrl+Pj4oKWlBaWlpUhMTHR558Kg0+lQVFSE/Px8NDQ0wN/fH8HBwSguLkZ+fj6Cg4MxceJEjBkzxuH9YeE0Ye7GkiygVCrh7+/fbuPCzseS/jqdDnl5eTh16hTOnDkDo9GItLQ0ZGVlYdSoUQ7vvTBfw3I8QGu+xs/PDz/++COqq6uxaNEitxQNJSKcPn0aeXl5CA8PR3NzM5838ff3R1JSEm9QxPZ9sTQ0er0eNTU1aGlpQWBgIKKjo9u9IAGti2dZWRlPyhCbdLcFvV5vFuYSUunZ4hccHNyusbNwWmVlJW88mpubzXIo1pLsjjwKlodpampCXV0dampq+AiFQqHgjYmrXiLQugmqrq6GXq9HeHi43TyMM9DpdNBoNAgJCfGq8NqrxqWpqQkjR47Egw8+iIcffthtx9Xr9XjllVfwwgsvoH///li/fj3GjBnTrmPqdDocOHAAW7ZswS+//IK8vDz4+vpi4sSJmDt3LubMmYNBgwY5/XBYGpuysjI0NjYiJSUFcrncLRTp06dP4/vvv8fJkyfh7++PrKwszJ49G6mpqS6Xh2BF85ixqaqq4r0CS+2Ns/fEYDDgzJkzOHz4MI4dOwaNRoM+ffpg3LhxmDBhAsLDw10aM/C/fI1SqcTGjRtRVFSEW265Bf379+fH74q+prm5mc+bFBcXIy8vDy0tLRg9ejSGDBmC5ORkh3kTRzAYDKitrUVjYyP8/Pz4ZL2rx7TmlZSWliIsLIxfmGwl3cVCq9WioaHBzBjGxMQgOjraaUGmkPLLPBLmnRqNRkRGRkKhUJgZEmcNl9FoRE1NDaqqqlBZWYnm5mb4+PggNjYWCQkJiI2NbTcLi4hQV1eHhoYGyOVyxMbGujUBz8hFcrncLZsOV+FV4/Lxxx/j+eefR05OjtOJYDE4c+YMFi5ciGPHjuGhhx7Cv//973Y9GEy/IpFI0NDQgF27dmHr1q3Ys2cPNBoNevfuzZMCpk2b5pJbylqzSiQS9OrVy2Y4wlEuh4hQUFCAPXv28K1sJ02ahOjoaBQVFaG8vBwSiQTJyclISUlBXFycy4sUx3GoqanhwxrMyxF6N5b5G0uYTCacO3cO2dnZOHHiBDQaDZKTk/mQV2BgIF93zVpC1RmYTCZ88cUXyMvLw1133YW4uDjeszGZTPDx8XGYr9Hr9WbiRZY3iYmJQXJyMhITE1FdXc1voNpjEDmOQ319Perr6+Hj44OoqCiEhITwzCQGewlzMVRgHx8fVFVVwd/fv90GXKVS8R4EC42xcFVLSwvvuVjzIiwpv8yQCCtVMA9ELpdDIpEgOjra5XdbpVLxoa66ujpwHIfg4GDeO2EeJnt+2wONRoPq6moYDAZERESYaVrcCY1GA71e79WuqF4zLkSEyZMnY/DgwXj//fc9dh6j0Yg333wT//jHP5CYmIh169ZhypQpTh/HVn4FaJ3Iffv28Qy0/Px8+Pn5YfLkyXyupn///k6xV65cuYLo6Gg+bi+WIi2RSHDp0iXs27cPpaWlSEhIwNSpUzFkyBCzMWu1Wly5cgUFBQVQKpUIDAxE3759kZKS4jTTxGAwoKGhAREREWYvH6NCC0NqDIwgkJeXh2PHjuHEiRNQq9WIj49HVlYWMjMz2yTWhUl/RkN2dvfLcRy++uornD9/Hvfeey/69+9v9ndb+Rq5XA6VSoW6ujpUVFTweZPQ0FCzvIlwp8gqGzQ2NmLkyJFOhwwZpbW2tpZnIlpLEgurAlj+zlkqcG1tLYiIf+6cGStjjWk0GkgkEj4cZZmHMJlMvNBQGGJl912tVvPPCqP8CkNbQspvU1MTv+EQC5PJxHsnTKAolUoRFRXFGxTL47FnWCKRiCZaCMFxHOrq6tDY2Ah/f39eee8pMAMfGBjoteKVXjMuBw4cwJ133olNmzZh7NixHj/fpUuXcP/99+PAgQP461//ipUrV4rOlQj1K2K+c/nyZV7AuXfvXuh0OqSkpPCGZsqUKQ4TfzU1NaipqUHfvn3tfpYZGaPRiNOnT2Pv3r2oqKhAr169MGXKFAwYMMCsgrS1EAcrOVNYWAiDwYDo6GikpKSgV69eojwErVaLpqYmUWEfo9GIS5cu8SGvpqYmREZGYtSoURg7diySk5N578aeSI4l/ZnSX0zohuM4fPPNNzhz5gzuueceDBw40O7na2pqcPnyZeTn56OoqAharZbXm6SkpKBfv36Ij4+3e26TyYSTJ0/yHozYnWRzczNqamr43WdUVJTNXbPQI2GLNXut2X1k/zqan8bGRmg0GtGMOWGtLI7jeL2LNY/EssqvSqVCfX09XxcsIiIC0dHRCAkJ4Q2JveePbTSYF2cPzc3NvDFhxjooKIg3JlFRUQ43Ktb0MGLAqiQYjUZERUW5JS8pBs3NzQDAsz87Gl4zLow6vGvXrg4r8MdxHN5//3088cQTiIiIwAcffIA5c+bY/LzJZEJDQwOMRiNCQ0OdZoIArS/A3r17ea+msLAQ/v7+mDp1Kh9CS01NbfM9IkJhYSFMJhNSUlJsPsgmkwknTpzA3r17UVtbi/79+2PKlCno3bt3G2+HwVZYzWQyobS0FPn5+aisrIRMJuPDZjExMTbnie3ybYktiQhFRUXIzs5GdnY2GhoaEB4ejszMTGRmZiI5OdlMeyNcGG3VTWM0cFb0z1EtMiLCpk2bcPLkSfzf//0fhgwZ0uYzLG/CWF0ajQZSqRQJCQno1asXEhISEBgYCI1GY1YnirHaGP3ZcgwmkwnHjx9Hc3OzQxICS/JqNBo+P2EZlhOGtuwl3YXXzv4u/NcaxNCRmefB1OlSqRTBwcG8Ul+oWRGGtoxGIwCYscNY6JGFwjiO43Ul9kJQrFyQrRCpyWRCbW0tb1DUajUfUmQGxZVFl4j4ckuOWmOwcHFTUxM/l+0J5zoL5unbomZ7Gl4xLmVlZRg7dixeeukl/OlPf+ro06OoqAhLlizBzp07ce+99+KNN95oIxgU5lfCw8Pd8lAQtVYrZYZm//79MBgMSEtL4w3NpEmT+NCKXq9Hfn4+wsLCrIaIjh49in379qGxsRFDhgzB1KlT7ZYgcYYirdVqebYZ482npKSgb9++bUIGTU1NvMZCeK1lZWW8QampqUFISAhGjx6NrKws9OvXz+7iZfnDxmgtd8NKxLA4vuViTNRaA+3o0aO44447MGzYMACtu25h3qSxsRHA//ImTG9i68U0GAxmYk57+Rqj0Yjjx4/zSX7LhY0l61kiNjo6GkFBQQ6pwGKT7o6qAjBotVrU1NQgPj7ebHFniz8LewHgQy6WJeNtUX5ZaMtW8pqIzMJi7LuW7x7HcVCpVPD19TXLs6jVajPvxGQyITAwkDcmrpAIbIGFeW3lYdRqNaqrq8FxHKKioryW+2BhQ2+UgvGKcVm5ciXWr1+PY8eOec1lIyJs2LABjzzyCORyOdauXYtbb70VgP38ijuhUqmwe/duPoRWUlKCwMBATJs2jWeghYaG8mGu4OBg6HQ6HD58GAcOHIBarcbw4cMxdepUpxXlDGIo0rW1tSgqKkJpaSlMJpNZyRmZTIaGhgZIpVKEhISgsrKSNygVFRUIDAzkDcqAAQNcupeWlQWskQUkEgl0Oh2MRqNZ0p+IsHnzZhw5cgQ333wz4uPjeWNimTfp1asXEhMTXWbYsHAdIwcQEV9vii3Eubm50Gg0yMzMRFBQEB+Lb2hogI+PD894spV0d4YKbO9+2jI0JpMJ5eXlPL2Z0YmFCXp2jJaWFv7/mfciNCSu5MSExxbWLxPqUFgILigoCHV1dbxBYcyuyMhI3qB4UqluLQ/D8jkqlQpBQUGIiYnxqphRq9XyOqiOihAxdLhx0ev1yMzMxLx58/DCCy905KmtoqKiAkuXLsVPP/2E+fPn48UXX+Rjxh1ZUZQJ8JihOXjwIIxGIwYNGoRrrrkGo0ePRkJCAo4dOwa9Xo9Ro0Zh8uTJLiviHY3FmsFhtYwKCwtRW1sLuVzOh9+qq6uRm5uL4uJivvxKVlYWBg8e7JGXy1bdNIPBwGtZ5HI5tm3bhr1792LIkCF8RdqAgAAzvYkn5pnt9Jlnw8YkkUhw+fJl+Pj4YPDgwdBqtbzXFxYWZiZIdAcVWMw4LQ1Nfn4+H1JpbGyEVqsFUWsla6ZitzQknmqPwBT8rHIDq7ulUqnQ0NDAG5+4uDjeO+nIxVyYh9FoNKirqwMAhzXdOgocx6GpqQkBAQEdXm+sw43LDz/8gGXLlmHv3r1tmDreAhHhq6++wvLly2EymbBq1SosWLCgwy29EEqlErt27cLPP/+MLVu28AreUaNG4c4778Qtt9yC5OTkDh2T0NAUFRVh+/btOHDgAIqKihAcHMx3CM3KyuI1Oh15D1mOrKioCJcvX8aOHTtw+fJlpKenY/LkyejTpw969+6N2NjYDheXCQshlpaW4sCBA9Dr9Rg7diz69++P0NBQPgneUfeMGUA2LsagKikp4ZXnUVFR/ELJDElHLt6Mhs1CtNXV1QgICEDv3r35ufRmWXmgdUNTXl6O5uZmhIaG2g2legMszNjR96nDjcuNN94IuVyOb775piNPaxcsv1JfX4/nn38eX331FebOnYv333+/wxdwhoaGBuzfvx85OTnw8fFBWFgY8vPz+fInJpMJ6enpfK5m/PjxHk8WNjU14dixY8jOzsbly5chlUoxcOBAnjJdU1MDk8mEmJgY9O3bF4mJiWZMNfbf7lw8beVNqqurUVRUhJkzZ2LSpEkAWlX5bIft6SZr1upvaTQa1NbWQqfTQSKRIC8vDyaTCWlpabzYVFiixp07TZaEt2yny9TcrIJAaGgoX025V69eZiGzjjJ6Wq2WFzHW1NTwXktwcDBfd4uIeGKAK0Qbd4E18WJst4CAALfoYdwJb9Ub61DjcvbsWcycORMfffQR5s6d21GntQvWcleYX9m8eTP++te/QqVSYdWqVVi8eHGHvVg1NTXYu3cvTpw4gYCAAL7uV0BAAMrKyqBSqRAREcEz0LZv346qqiqEhITg2muvxdy5czF79mynK9vaQktLC44fP44jR47gwoULAIDBgwdjzJgxyMjIgI+PD09DNhgMfHmZmpoavsFZ7969ERYW5rC+mhiYTCZUVFTwxqS6upqvacbCXPn5+di7dy9mzZqFyZMn8zF8lmiWy+Xw9fW12mRNSBYQO+eOku4GgwH19fV87auYmBgEBgZCp9MhJycHAJCens5XDxDma4T9a8RuHlgvHCFbiyXhJZLWbp9sZ83yU+Hh4VAoFJDL5W3oyNZCZ+58H1hFZ2ZQmpqa+MWa9Tzx9fWFwWDgy+7r9Xq+ErO1+mWeBquCzJp4MSpze/UwnoI36o11qHF54okn8Ntvv+HIkSNet+xMoKbRaKzmV4RNyaZOnYqPPvrIKmXYXSgvL8eePXtw5swZKBQKTJo0CVlZWWYCKI7jkJ+fD19fX/Tp04f/3YkTJ/him4cPHwYRISMjgycFjB071qn7rdVqcfLkSWRnZ+PMmTPgOA4DBgzg63kJSRi2aMhKpZJvcMYqNfft2xe9e/fm6apiKNJAq7CPGZPy8nI+b8KMSXJyMh/fPnjwILZu3YoZM2Zg2rRpZmNii7ewk6Gvr69TTdbEKN3Zv0LhnFQq5TUclveaeaejR4+GXC63ma/x8/Mz68wpkUisVvkVUn6F4kNWPYEZWcbGYi0iGFj5eWvMQ3cZGka5rqqq4hXrcrmcNybR0dH8s8923tbyBgaDASqViu8LxLo9enJRFzbxslYOxlU9jCfhjXpjHWZcmIhs2bJleOihhzrilDbhjH5l165dWLx4MaqqqvDiiy9i+fLlbo2nFhUVYffu3bh48SIiIiIwZcoUjBw50qYxaGlpQWFhIV80zxJ1dXXYuXMn79XU1tYiLCwMs2bNwpw5czB79myrzDK9Xo/c3FxkZ2cjNzcXBoMB/fr1Q1ZWFkaPHm2TSmmNhiwEEaG8vBwFBQUoKysDEfEiRCZAtCQOKJVKFBcXo6ysDGVlZXyfkMTERD7Wbq2w5x9//IHNmzdj6tSpmDFjhs0FhuU/DAaD1R4yQrKA0WiEwWDgjQgL78lkMv7Hmq6koaGBT+4yZb2t8Wg0GuTk5EAmk2H06NFtFNUmkwmNjY188USlUslTn/39/SGXyxEeHt6myi/rsuhsBWJbdGTLeRX+CzguP8O8k6qqKj58GR4ejtjYWMTFxSE0NNRqGSO267bHLDUajTxNWlgexp1GRmwTLzZusXqYjgATg3dkvbEOMy4fffQRXnjhBY/VERMLV/QrwqZkY8aMwfr16x02JbMHIkJeXh727NmDgoICxMTEYOrUqRg+fLioXQXrH9G3b1+7D4rJZMKxY8d4Xc3Ro0dBRBg9ejTfgTMwMBBHjx7FyZMnodPp0Lt3b4wZMwaZmZmimoUJaciOoNPpUFhYiIKCAr5Sc9++fZGQkIDm5mZevKhUKgG06k0SExMRHx+PmJgYs3tj6eEcPXoUP/30EyZOnIjZs2eLrtrLkp2sh4xEImnjlbBXhHk1wtCXZd205uZm1NXVwWAwICwsTJTyG2jdNOTk5MDX1xeDBw/mac3WWunK5XIzxb1cLjdrKcBYcSwcJpFInCrkaDQaUVFRIbrasi1DwxZjZlAMBgP8/PzMGmg5Kk3C6M4KhULUu8HKnghL0Iipguzo+lxt4uVID9OR6Oh6Yx1iXDiOw6RJkzBs2DC8++67nj6dTVjLrziDQ4cOYeHChSgsLMSzzz6Lxx9/3KkkOlFrQ6ndu3ejtLQUSUlJmDp1KgYPHuzUDouotSglAKSkpIj+bnV1NbZt24avv/4a+/fvh1qthlwuR//+/TFr1iwsWrTIaaNZW1vLiwbFwmQy4fz588jJycHp06dRV1eHoKAg9O3bFxkZGUhJSUFSUpJVMaQ1ivTJkyfxww8/YOzYsbjuuusclrthYEaChZ+EPWTsFQVl3xVqb1QqlVlvFRYusddkjRkAllyvqanB8ePHIZPJMGDAAH5htKzyazkeZogaGhpQW1sLtVoNiUSCsLAwxMTEICoqyilyAFFrdWTmDTnzPWHuhBXzDA8P5zcIzhRqZCp8V+pjCRuDAXBZd+OOJl6dJQ/T0fXGOsS47Nu3D3fddRd++OEHZGVlefp0beAov+IMWFOyVatWIT09HZ988onDpmQcxyE3Nxd79uxBVVUV+vbti2nTptlVqTsCKzwZERHhUEDJcRwuX76M7OxsHD16FM3NzYiOjkZYWBgqKytx4MABHD9+HBKJBFlZWXyuZtSoUXYXZyLilff2drhExOdNiouLUV5eziuwExMTIZfLodVqoVQqna7UfOrUKXz99dcYNWoUrr/+eptJdXulT9g16nQ6vvcIKyfjCKy3SnNzM3x9fREZGQk/Pz8zsgDwP/2NRqPhE+4slyLsbQK01qaLiIhAVlaWqJbPLOxlMBh4L8rHxwd6vZ4/Bwv/Mc/G0SJbUVGBgIAAh3WwLL0T1q6aeScxMTFmC5nYHI0tFb6zYKVoWKdLVlpGTB2x+vp6NDQ0uKWJV2fJw3RkvbEOMS4LFy5EUVFRh9YRY3BHfTBrOHbsGBYuXIhz587ZbErGSn7s27cPdXV1GDBgAKZOncon49sLpk7u06eP1aTilStXcOTIEeTk5ECpVCIiIoIPeQlppgBQWVnJt3veuXMnlEoloqOjMWfOHD6EZhkmMxqNqK+vtxpebGpq4pPwJSUlfNe+xMREPglvuQvUaDQoLCxEfn4+X4/JXqXm06dP4+uvv8aIESNwyy238MdiBoaFJNhCz3GcGVON5UyEHgpbjIRJf2u7PFa7qrGxkafuKhQKs1IoKpUKTU1NUCqVfN6GLfIKhQIhISEIDQ2FQqEwMyKM8h0cHIyRI0e2WQiFCvaWlha7FYg5jjMrUcPCa6zgZ1BQkFWWFaPXWhI12EaNGZOGhga+yoGwva+13InwX0d1zpgKvz39aqzdB3Zce/XLPNXEqzPkYTqy3pjHjQurI/byyy/jnnvu8eSp2sAT9cEsj8+akvXr1w/r16/H2LFjYTAYkJ2djX379kGlUmHo0KGYMmVKu1ro2gKrZJyamgqJRIKSkhK+/EpdXR1CQ0ORmZmJrKws0SE0g8GAw4cP87ma3Nxc+Pj4YOzYsXxl54yMDOj1eiiVSkRFRbXpb8K8kNjYWN6YxMXFiX6g6+rq+GrE1io1nzt3Dhs3bsSwYcP4sj2WXos1pbvY+moc19rB0mQymSX9GW22vr4eer2ez3ew3TErpMk0K5bl4mUymVlVAWt106RSKdRqNU6cOAGFQoERI0aY0W/FVCC2N7eM7szyTUJ9DfPYGhoaoNPpEBcXx9NumUFh9F9h7sSZXb0jQ8OYTZ7QZVgrLcMKbhJ5tokXg7fzMB1Vb8zjxuWVV17Bhg0bcOzYsQ7lWLP8ilwu58tqeAqsKdnRo0dx6623YuDAgTCZTMjIyMCUKVM8SmAwGAz4448/kJeXh7y8PFRVVSE4OJiv59W/f/92X3tpaSnv1ezatQsqlQpxcXEYP3480tLSkJaWxrvb4eHhvDFhIa/2wGQyoaSkBAUFBaisrOTpwIcPH8aoUaMwf/58/vqExsEZiqy9+mos6c9KodTX1/OLq1AwZ1mcUeyCb69uWlNTE06ePImAgAD069eP174IKxC3F6x5F6OUcxwHqVSKxsZGXg3f1NQEIuJzScw7ccc7ZUltZuEwf39/j4ojGd2bUbeZZ8Nqk4WFhXk0ysJxHAwGg1fyMB1Vb8yjxkWv12P06NG46aab8Pzzz3vqNGZwZ35FLNRqNfbv34833ngDe/bsQWRkJD744APceOONHjtndXU1srOzkZOTg/z8fHAch2uuuQaTJk3CoEGD3O7ysvxKQUEBfv31V+zbtw9nzpxBVVUVfHx8MHLkSMybNw833XQT0tPT3fbQCplbzc3N2L9/Pz7//HNERETg2muvRf/+/V1qcGYLzJg0NzejqamJ76HOWt6GhISgT58+iI+P50NbQgKAO8DyKI2NjSgvL8eZM2cQExOD0aNHIyQkBL6+vma5FXeAeSfFxcUoLi5GbW0tlEolX2mhV69eiIyMFJWvcRWMLgu05gSEmwZPgeM4lJaWory8HFKpFImJiYiMjOyQOlzeysN0VL0xjxqXTZs2Yfny5di/f79HBYgMnsqv2EJTUxP279+PI0eOQCKRYMyYMUhISMCKFStw4MAB/OUvf8Grr77qNgNXX1+PnJwcHDlyBEVFRZDL5cjIyMCYMWMQEhICvV6P1NRUt7naSqWSD3OVlpZCq9XyehNW8FGtVuPQoUPYtm0bdu3ahZaWFiQmJvJlaWbMmCF64XekdC8sLMR//vMfpKSkYObMmfxCaDQaERcXh5SUFCQnJ4ta/IQ7V+GPkPLr6+vL/39ERAR69+4NHx8fPpzENCaW47TWK0cMmCCQhWz8/PygUCig0+lw4sQJhIeHY/DgwWaelUQiaSP0FHu+pqYms/a+RASFQsF7Jmx3y/JIYvM1rkKr1UKr1fK0Y0tqs/Bfd6ClpQVVVVUwmUyIioqCv78/T4zw9fWFQqHwuCbEW3mYlpYWvtGap+BR43LDDTcgICAAX3/9tadOwcPT+RUh6urqsG/fPhw7dgx+fn4YP348JkyYwMcwWVOyJ598EmFhYfjggw9cLnejVCpx9OhRZGdnIy8vD76+vhg2bBiysrIwbNgwPtlsMpmQn58Pf39/9OrVy6VzabValJaW8noTVoaD5U169eqF2NhY/gWoq6vjaz4BrSGWAwcO8LmaixcvwtfXF9dccw2fqxk0aBC/QIhteiWRSFBUVIRPPvkEvXr1wr333ssbUKPRiOLiYhQUFKC6uhq+vr7o3bs3UlJS+GS0sGikkPrLzsmuQSg+ZGFVYbKegYVQmCo8ICCgTdUBa9djrfoA88hYj3gmAFQoFGZEgtraWpw8eRIxMTFIT0/n51yYv2GvstDQsB92H4TtfVkztOjoaD7cxZ5hRkeOiIjgw9nsPrKcDaPXCvvXuLoYM1q2v79/m2NYqwog/NdZOGripdPpoFKpoNfrIZPJoFAoPL5R7eg8TEfUG/OYcTlz5gxmzZqFdevW2e326A50VH6lqqoKe/fuxcmTJxEUFISJEydi7NixNl1LYVOyP/3pT3jjjTdElchvbm7mC0RevHgRPj4+GDp0KLKyspCRkWHzBWZCxPj4eJuKeSGYWI4Zk5qaGgCteZNevXrxeRNrbCkWJrP34hUUFPAtBPbs2QONRoNevXph1qxZmD17NqZMmcLnJuyVly8pKcH69euRmJiIP//5zzY3Dk1NTTh//jwuXryIhoYGyGQyXh3PqjSzJLswR8KOJ0zWSyQSh7F34Y6e5V0slf62yAOsGjFr8atQKPjkvK3z1dTU4NSpU4iNjcXQoUPbfE7IkLPU37AyNBKJBCEhIXyJ+sjISJu75fLycgQFBdkU3dnK1wiLb4rZ5IlV4bPPtqf8jDNNvFgvG7aJYM+6p8J0HZ2H8XS9MY8Zl8ceewz79u3DH3/84THL2FH5ldLSUuzZswdnz55FaGgoJk+ejMzMTNEvzqeffoqHH34Yfn5+ePfdd3l2kxAajQYnTpzAkSNHcO7cORARBg0ahKysLIwcOVL0A1BRUQGlUomUlJQ2RoEZBGGdLtatT1inSwwH3mQyoa6uDmFhYVbPYxni0mg0OHDgALZv344dO3YgPz8ffn5+mDx5Mh9CS0tLa/NClZeXY926dYiNjcWCBQvMPDVrdbXYDp71Z1cqlXzfmSFDhiApKcmqAVMqlXz3QiaWc4aBxdr4MqW/tQWbhb2ampr49sBsx88+7yisVlVVhdOnTyM+Pt6q+JY1q2JCxubmZt6bZz3qmUEXFum0Nt7q6mpIpVJRGyIi4vU7rEgoAF6nYnmdQjirwheeU6yhaU8TL4PBwFc7YHPm7tIyDB2Zh2EiVU/VG/OIcVEqlRg5ciRWrFiB5cuXu/vwADomv3LlyhXs3r0bly9fRlRUFKZMmcLTQp1FRUUFHnjgAfz444+49dZb8c477yA8PBynTp1CdnY2Tp8+DZPJhP79+/MFIl0xlhzHoaCgAFKpFH369DHTm1jLmzC9ibPQ6/VobGzkQ09CY2KPCsxw+fJl3qvZu3cvdDodUlJSeEMzZcoUNDU14aOPPkJYWBhuvfVWM0W7rVa67IcZIb1ej6KiIhQUFPBhvN69eyM1NRXh4eG8Mp7lF6KiolwOqTKlvFDpT0S8AWQCTaZzEXq8YinSPj4+qK6uxtmzZ5GUlIRBgwahubnZrL0v69LIQl3CEjTCygLMy2GwNDaNjY0wGAwudTlloUPm2Vjma4RlatRqdbtV4/YMDfPegPY18WLPH2OVuaO0jDV0VB7G0/XGPGJcWB2xo0ePIjo62t2H92h+hYhw6dIl7NmzB4WFhYiLi8PUqVORnp7e7oeIiPDll19i2bJl0Ol0GDt2LL/QsQKRYsJZ9qDRaJCXl4ecnBy+9IVEIkFcXBxvTIR5E1eugYh4kaBQZGeZJxG7s1Or1di7dy9++eUXbN26lScrxMbGIiUlBffeey/69u3Ll4e3DGuJnRdhpWaVSgWJRILo6Gj0798fSUlJbnnB2A6eldgnIr6asbPFFG1RpE0mE86dO8fXImPGg1UUjo2NdUqBbZm7YfkiVm2YkSScIQtYwlq+hv0+JCREdB0zRxBqaIxGI18WX6FQICYmxi0LNWPzMU0TeybdbWTYnPj4+Hgsh+zJemNuNy4cx2HixInIyMjA2rVr3XloAJ7LrxC1thnes2cPysrKkJycjGnTpmHgwIHtdn+NRiPOnTuH7OxsnDhxAo2NjTh9+jROnz6N6dOn45NPPnG5KZnRaER5eTnvnbAdGluIMzMzkZqa6vKu0FrTKwB8CIqFj5y9RyzUIGxgxXb9TCDJqiIbjUb069cP1113HebMmYPJkye3K3FcVVWF/Px8VFRUQKPRwN/fH4mJiUhJSUFCQkK7FlBmdPV6vRnrKDQ0tF20T7Va3aaBFguxDR48GFlZWfzi72qvHAa2MLMdf2xsLH9P3NVkTafT8WEqpl1yJV9jC01NTaiuruY3EMzYOpujsQfL+mViS8s4A0/nYTxZb8ztxmXv3r24++678eOPPyIzM9Ntx/VUfsVkMuHUqVPYs2cPampqkJqaiqlTp/KKd1fBcRwuXryI7OxsHDt2DGq1GvHx8cjKykJWVhbi4uLMmpK99tprWLx4scOXlai1Xz0zJhUVFTCZTAgKCjLLmwQGBuLKlSvgOA4pKSmiBX32qMBCr4Qp8B3teCwpv8yQ6HQ6/rhC8aHBYMDGjRsRGBiI+++/H0SE3bt38/1qSkpKEBgYiGnTpvEhNDHldDiutV1ufX09fHx8+GSuXq+3Wqk5NTVV1DMmDHsJK/EyGqtl0l/soslxHGpra/lwV3NzMy/wY+EuhUKBkpISXLhwgWfIWQursfvsLEVar9ejqqqK93SF4TQhFdqVJmss3s8qH7iar7GEZROv6OhoM1pze8gAtmBZv4yFad2Va/Z0HsZT9cbcblzuu+8+lJWVYefOnW7dIbg7v2I0GnHs2DHs3bsXDQ0NGDRoEKZOneoyjRf4Xyl9ViCSdWjMzMzEmDFjkJiY2OaeNDY24vHHH8e6deswZcoUrFu3ro0miOlNiouLUVpaatbfhLG6rJXH1+l0KCgoQHh4OOLi4tqM1dKYMFijAlvCkoYMtKX8sv+2pPwKQ1tC9k1jYyM+/PBDSKVSLFmypE1snHmXzNAcPHgQRqMRgwYN4g3NNddcY+YhsE0Jy0Uw9pi1F7ShoQH5+fkoLCyEXq9HZGQkUlJS0Lt37za7OkZXZd6Wv7+/3TCdMOnv5+dntUIv011UVVXxLaP9/f35UFd0dLTVBauoqAiXLl1CamoqUlJSzK7dVuUB4Tzb8nI4jkNZWRkvnrScC2earAnhqCilrXyNXC7nDU1AQECb++yoiZdw7MJ/3aWhEW40WN7Nsm5ce47tqTyMp+qNudW4lJSUYNy4cVi5ciXuvvtutxxTp9PxFEp35Ff0ej2OHDmC/fv3o7m5Genp6Zg6dSrf0tVZEBEKCwt5tXxDQwPCw8ORlZWFzMxM9OnTR9RDK2xK9txzz2HevHl8uItRBi3zJmJ2MPX19aisrERSUhKCgoKcSrrbQ3FxMSQSiVlvdmErXWEZFGZI7M2dUqnERx99BABYvHixqBiwUqnErl27eGJARUUFgoODMX36dMydOxeTJk2CXC7nY8pRUVGiXnSm2i4oKEBFRQV8fHyQlJSEPn36ICgoCM3NzTAYDGZlX8Q+l8Kkv5+fn1lHRpYHioiI4A2KWA/9ypUryMvLQ//+/R16cs6QByoqKhAaGipqHCwfJMzfsGMKDQ17TsQWpTQajWbFN4X6Gtb+uampSVQTL0t4wtDYq1/WXngqD+OJemNuNS4vv/wyPv30Uxw/ftwtg3RnfkWj0eD333/HoUOHoNVqMXLkSEyZMqVN1VcxICKUlZXxFYdZ2XlWz8vZUvosb3Lx4kW8/vrr2LlzJ3r37o2lS5di7Nix6NWrFxISEkTHRC29ksLCQp6NxeK2YpPuzOUX0n2bmppQX1/Pt5S1rKvFyqGIhUqlwkcffQSj0YglS5Y4LPNu65pzc3OxdetWbNmyBUeOHIHJZMKAAQNw/fXXY968eRg/frzTL2RLSwvOnTuH8+fPo66uDoGBgejfvz+GDh3qEllFq9WisrISRUVFfD4pJCQEycnJiI+PR3R0tMuLRn5+PgoKCpCWlobevXs79V1bXk5VVRVPGnA2rMaOKTQ2THwaEhLCNz1joR6x74yw3ltlZSXq6+vh6+trVqLGlfyBu8WalvXLmOfe3pIrnsjDeKLemNuMi06nw+jRo3HLLbfgX//6V7uOJcyvMLWyq2hubsaBAwdw+PBhmEwmZGVlYdKkSS4tYJWVlXzF4YqKCgQFBWHUqFHIysrCgAEDnNotsbxJcXExKisrzfImtbW1ePbZZ1FUVIR//vOfeOKJJ+wuOLaS7sx4cByHK1euIDg42GpfdAYmGhP+MMov8L+EJetX0qtXr3ZvItRqNT766CNotVosWbJEVPdLWzAYDKitrUVTUxO0Wi1OnTqF3bt3Y/v27aiqqkJISAiuvfZazJ07F7Nnz0ZCQoLNY1mrQKzX61FZWYmSkhIYDAbExMTwlZpteURMmFlZWYmqqiq+6gHTnAhrhQUFBbV74bl8+TIKCwsxcOBAl0kiQtTU1MBgMCAqKsqhl+OIPGAymaBUKuHr6wtfX1+blQVY2MfesXQ6HaqqqqDVahEQEICAgADecBGRS/kaIdxtaJiRYd04xXYFtTc+d+Zh2JrrznpjbjMu3333HV9TSxj3dRbC/EpYWJjLE9DY2Ij9+/cjOzsbPj4+GDduHCZOnOh00qq2tpYPeRUXF8Pf3x8jR45EZmYmBg8eLDqe2tjYaKY30el08PPzM9ObCBdWrVaLf/3rX3jttdeQnp6O9evXY8SIEU4l3YUvQlNTE0pLS5GYmIiQkBDebRf+sIeVVd4VeiTCHIFGo4FKpWp3teeWlhasW7cOarUaixcvdsmLBFoXcFYqXSqVtlFecxyHEydO8Lmaw4cPg4iQkZHB52rGjh0LiUQCtVrNs72E90G4EzYajXzYrLKyEjKZDL169UJKSgpiYmL4UBdjdhkMBsjlcp4qHB0dbXY8tqNn1Zbby5S6dOkSioqKMHjw4Ha3eVAqlVCr1WaG2FEux5bBYYljy82iZVVoS7KApdDTXhMvJthlITRGHHGUr7EHdxoarVbL17Dz9fW12oPHGbA+Qe7Iw7i73pjbjMv1118PhUKBL7/80uVjuCO/Ultbi7179+L48ePw9/fHhAkTMH78eKcmsKGhATk5OcjJyUFBQQH8/PyQkZGBzMxMpKenixqXRqMxa5blSt6EiHD06FEsWrQI586dw6OPPoqnn36ab3XrKOkO/C9Z19zcjPz8fNTU1JgltFkiWmhIrLXSFYKxvVwRXzJotVqsW7cOSqUSixcvdslQEf2vtzkRISIiQlT76rq6OuzcuRNbt27F9u3bUVtbi9DQUFxzzTWYOnUqZs2ahZSUFFGlPtRqNQoKCpCbm4vy8nLodDooFArExcXxeZO4uDiEhoY6PJaYpL9YXLhwASUlJRgyZIhdD80R1Go16uvrkZSUZHf8jgyOVquFwWBAaGgofH197Xo5tsgCWq0WtbW1ICJERkbaJDgIwfI1LGdjma9hz7tYuMvQ6HQ6/j1iuTtXS8u4Kw/j7npjbjEuubm5mDNnDtavX49Zs2a5dIz25lcqKiqwZ88enD59GsHBwZg0aRLGjBkjOvbKuv9lZ2fj8uXLkEqlSE9PR1ZWFoYPH+7QVTQYDGZ6k9raWgBAZGSkWX8Te5NvyysxGAxYtWoVXnrpJaSmpmL9+vUYN25cm++yHZvQGxFSflkTqLCwMAwcOJCngToLpVIJInIptAi0vlgff/wxWCIG2gAAnjxJREFU6urqsHjx4jZMNjFgGgyDwYCwsDBERkY6dS2sFItSqcSpU6ewf/9+7Nu3DydOnAARYdSoUXyxzczMzDaLPOutLmzvq9FozBpdJSUlITU1FUlJSU4ZCVaziyWDnc1hAa3Pw/nz51FeXo6hQ4e6dI+B/9GR4+LiXFq4OI6DXq/n323WlItBDEWa/lu2qKamhm8lzebakiwgk8nsLtAsX8MMDsdxfM055tk4m9tkcIXabFm/jOUsnT2Ou/Iw7qw35hbj8uijj2L//v0u1RFrb36luLgYe/bswfnz5xEeHo7Jkydj9OjRosbR0tLCG5Tz589DIpFgyJAhyMrKwogRI+x6OxzHtdGbcByH4OBg3pgwhpat63ZEBbYMbwmbkv31r3/FI488wlfVZWXgAfAxXeEP2xWp1WoUFRXxRQtdAUugupIL0+v1+OSTT1BVVYX777/f6V21RqNBTU0Nr3eKjo4WHSNm5ASVSmWzAnF1dTV27NiBrVu3YseOHWhoaEBkZCRmzZqFSZMmIT09HQaDAQ0NDQCAsLAwxMXFISYmBuHh4ZBIJDAYDHylZrYgskoMztxzjUbDq8BZXsGZRYOIcO7cOVRUVGDYsGEueYcmkwnl5eWIiopyKXxD1LYopTMUab1ez9OyhYVEhd6NZZM1VjdNGFKzNTatVst7NZb5GmZwxLZwaI+hEdYvE2q/nJ1vg8HAX4MreRh31htrt3FpbGzEyJEj8dBDDzldR8zV/AoRoaCgALt370Z+fj6io6MxdepUDB8+3OGDoNVqceLECeTk5ODMmTPgOA4DBw5EZmYmRo0aZTcn09jYyFcQLi0thV6vh5+fH5KSkniDYqt8i6Okuy0qMIvRMo+ksbERn3/+OdavX4+oqCg888wzmDp1qllYy9HOq6qqCvX19UhJSXEpeVdTU8Pv8pyBwWDAp59+irKyMixatMguucASer0etbW1UKlUfP5C7PlZMpWJ3BgxwdEOsaWlBTt37sTmzZuxb98+5Ofn8xuQa6+9FrfeeivGjRtn9yVUqVR8yZmWlhaEhoYiJSUFffv2FfW8M1orW3ScLWtPRHxTt+HDh7vEcCstLUVoaKhLmwlnilIKDQ0r3aJUKuHv78/nVuyRBxzVTXNEFnBXvqY9hoaFpoSCXGfrl7UnD0Pkvnpj7TYuH3zwAV5++WUcPXrUqYSsML8SEREhytMgIly4cAF79uxBcXExEhISMHXqVAwZMsTuzdfr9cjNzUV2djZyc3NhMBjQr18/vp6XLU0Fy5swg8JU0vHx8bwxiYmJaXNuV5PurHSIMLTFajAJNRXBwcGorKzE8uXLceDAASxZsgSvvvqq6PpAzDhLJBL07dvXqd0RU447W87EaDTis88+Q3FxMRYsWCCaKsuqLzc2NvK9R8QkHIXlZYxGI+9pOSrP0djYyIe66uvrAQChoaGIjY0FEeHIkSPYvn07du7cCaVSiejoaMyePRtz587FrFmzbG4uiAiVlZUoKChASUkJiAgJCQlISUlBYmKiw8VDmPRnzDJnwje5ubmora1FRkaG0x5rZWUl5HK503XvWA7JWWqwsIlXZGQkQkJCnCIPCJ9nS2MjJAsIiQLW1h9H+RpmbGyhPVUB2lu/rD15GFZvrL20ZJeMS0lJCf/ftbW1fD/x4uJi9O/fHwDa0CDZImn5PWGi09oEsxccaN3FHzlyBCEhIejduzciIiJgMpms7sZYzgNoTdCfOXMGCoUCUVFRfCLQWrVX1mYVAMrKypCXl4egoCCEh4fzrCFrC6PwNrKJFXolthKYarWaX+zy8vL4nTkLgwQEBCA8PLzNy1lYWMifl4jMHlq1Wo26ujpMmjSpzbX5+fnx4YbS0lLExMSYeWvWFgHhDtBgMECpVCIsLMxsvqwt2FVVVfzxysrKkJ+fj2HDhpnlaqwtWCz+DLTOY3NzM8LCwsyeFWsvDAt1Aa3elV6v50MbbBzWvsdeYAA4ceIEXwkiLCwMYWFh8PX1bRPezM3N5Xfyll4ogzUxIys/U1tbi+rqal7IK/QKrHnPbA7Ygse8feEzZW0O6urq+AW1oqICWq22TS8Yawuk8H1taGgAx3FmRomJQC1hMBj4MbG6YZb3zpp3zsZuMplQVlYGuVxulluxnDfm3Qjp0UTEa2dsnYuFjoTGhojaCDqtvassh6nRaHjPwnItsPZ8CT0ZYehOCGuLOAv1MU/K39/fbGPFwl+W5xLeIyb2Fd4Ta+cSvuPMe7HMyTrrBblkXIQ7B+aKvvLKKxgxYgSCgoIwdepUq5MqBOu6xqDRaGyWghCipaWF/5zRaMT27dtxww032P0eEUGn05m5eZ999hnuu+++Nt+zNBLsJVIqlbxWhBlQW99jiz17qNi9sDapV65c4UOCRqPRavLW2vcsr499btu2bThz5gzi4+Nx7733mn2HvRzMzWdhPUfnUiqVZg81S4I6+t7OnTsxcuRInmItnDsGW2VYJJLWplbOvIxNTU188UO2a7P8nLXvCedOq9VCLpebfe7UqVPIyMgw+87zzz+P+fPnY+DAgWbHcLRAXbhwAcHBwTxFWKPRtFncHY0RaDsHJpPJ6uaspqYGPj4+4LjWvumRkZFtPFxH5+M4zsxwajQam5RVFvNnXrtMJmszLsvzKZVKs5wMK/jpzBjZ/ws/xzxWZ7/HtDOWqKmpQXh4OF9o09rxxYzTGhx9z3ItYflDyzlw9Z5oNBqz517sO24X5AYsX76c9Ho9ERG98cYbZDKZnD5GdXW1U5/nOI6+//57MhgMTp/r66+/JrVa7dR3du7cSRzHOfUdnU5HRGR3jBzHUWNjI1VXV1NFRQXV1NQ4dQ4hKisrad++fXbHyXEcKZVKp65fr9c7fe1ERCaTiQ4dOkRXrlxx6nscx5Fer6fKykqnzstxHGm1WmpoaHBpvNag0+motLTU6rnWrl1LP/74I//six1jZWUlnTt3zm1jJCKqra0Vde78/HyX3k+Guro60ul0Dp8x9mMwGBy+oxzHkVqtppaWFpfHZe2YrhzPaDTaHC/HcVRdXU1Go7G9wzODs/NhMBioqanJ6efHaDTaPBe7X+15NizRbuNy8OBBKi4u5v+f4zh6+OGHnToGx3FOX9RPP/3kkmE5efIklZeXO/WdoqIipyeSvVxERFqtVvT3iouLXV50Jk2aJPqz1dXVTt1zlUrlypCI4zg6evSo2TMiFiaTyelNB1Hry1dXV+f09yzBxm4Pv//+O61evZq++OILpxadxsZGOn/+fHuHaHY8MeA4jnJzc106h0qlcmnx0Wq1or5XU1Pj1k2BK++sI4PEcRxVVVW5bREWrhNioNfrSaVSOX1tJpPJ4fPpbgPTLq4ZEWHnzp1m+RWJRIJHH33UqeM0NDQ4zYYYMmSI07RnjuNQVFTkdJHKnJwcUS4h/dd1pf/Gde3lB2whKSkJ+fn5To0PAC5evIiff/5Z9OejoqJQVlYm+vOWOTOxkEgkGDVqFPLz86HVap36LquuS05Gbhn5gRVIdAX0X5bViBEj7H5u3LhxWLFiBSZMmIB//vOfZjk7ewgNDUVERAQqKytdHqMQYlXVEokEaWlpqKqqcur4LAzrCj1VLpeLmovIyEjU1dU5fXxLsJCOs2EcrVbrkCElkbT2h6mpqXH6uWwvTCYTdDqdSxRljuMc5kwkEgn8/f2h0+ncc23tsUyPP/54u3YaLPzhTFiBiOj999936Xzvvfee0+OtqakRvSM1GAxkNBrtup9iUFRU5PR3nPFaGAwGg2iPxNkdlrXvf/nlly4do76+3qVz1tfXu3Q+tVpNFy5ccNpba2lpoT//+c9OfefcuXOiwzccx5FGo2nzbDnjGTNcunTJqXtTVVXl9DmEEBudcGXOhGE4do+chU6nc+qdZeHN9npaYs9pMplIqVS6dG8MBoPT4WW1Wt3ua3PZuLS0tND+/ftdPrFWqyW1Wk3Nzc1Ofa++vt6lvERZWRmVlJQ49R2DwUBbt24V9VmTyUQmk8nmIuzsg1tWVib68zt37nQ5Xu3MC2It9MIeXjEwGAy0fft2p8ZHRG3mTex4WQhDLDiOo8LCQiosLHQ5rq7VamnLli1OnTM7O1vU+ZqamshkMrWZB1feB47jRG9idDqdW/IMTU1NDj/DcZxTmwnhBpX9OLuQ6vV6l0LsJpOJqqqqHJ7P1t/FbthYXrYjDIvwu+01MC6Hxf70pz9h4sSJLn23paWFd8GcEeIxdpizBQ6NRiN27twpWrRnMpmQn5+P48ePiy5nI2QnWXNZWVFIMZBIJNDpdG2YctagUqnw66+/ulz8LiYmBpWVlaLcYGsMQI1GI2qcQGu4asiQIbh8+bJTY0xMTDS7f42NjaK+J5FIEBkZyRdMtAciwsWLFxEREYHevXu7XNNLLpfj+++/Fx1WkEgkGD16NI4dO2b3PgqZhAqFwow66oq4USKRiApTMlaSO5pIBQYGOrwvEonETI/iCKzDp/BHbMiIiKDX63nNi7Pw8WntDMrqndk7j7W/kwWTy9Z3m5qanNacMBav2M6glmB6HmFVdKfhikWqrKykvLw8p77DLKDBYHDabdXr9VRUVETbt293egel1Wrp888/F+056PV6OnjwoNPuuaPPOhu64DiOLly4YJfdceXKFXrkkUfa7b4ajUZRHgzHcTwDjuM4am5udmlHm5ubSydPnnRq3IxxZjKZrLK37KGlpcUuu4bjODp79qxL4RRbx3vzzTed+o7BYKCjR4/avJ+WHn59fT3vKbdnnLaIFiy568qO2R7EsBQ5jqOKigp+Z2/rHXCVxchxHBmNRtFEA0cwGo1UXV1t9/mynCsxXosrHgu7NqPR6JZ5a48H45LO5S9/+Qveffddu5+x1sLVx8cHBoPBZokVaxY2JycHOp0OsbGx6Nu3r9WEorXf5ebmoqWlBbW1tZgxY4ZVwZe17+3evRuTJ0+2a+2tfU/MbRTDZbfkpBcXF7dpewwA7777LqRSKRYuXGgzyWo5B/bGaDQa0djYaFWQKvyeWq2Gr68vjEajWa0rR1ocS1y5cgUVFRW45ppr7J6PgSnUjUYjX8NLzPcYdDoddDqd1SoG586d40vhWM4Bg+XvhJ6DNTz55JNYtWpVm9/buyccx+HUqVMYNWpUm79ZXhvHcdDpdDAYDHwy3xWNxaVLlzBgwIA2v29sbOS7PNqCK+ez1JvZ+g73X10OO4e1IqmsbYU9WBsjE9va81acvTaO41BfX+/w/XHmfEql0mG3Tsu/GY1Gh2QGV+bNlg7RHlwyLleuXOEnprGxkWfnCGGp0Gf1btiC19DQgMDAQLMSItYmu7i4mD+2TqfD2bNn0b9/f7NQgLUGU6dPn0ZAQABCQ0P5+kyWAkVr4TXWEwRoVYeXlpZi2LBhZt+zxswR3kbm1osRWAlDE8XFxZDJZGbFHDmOszqpx44d4xXTnIXIjcFSIc56kbMxVlRUmBV+5P7bC94SwoWUGSEmJmOwFjZhxR3ZMdgcCPvCWCtcKQyBKZVKaLVaxMbGmok+rS16lqEziUTSpq+LtZI1TElO/w2NhYeHt6neYDkHrEKC8NhiFPrCEF1LSwsuXbqEwYMH89fFcZzV50s4B6wCc2hoqJkY2docCFlaHMfxjCjh82wtpCpkOzY1NYGI2hhma++r0Hiq1WrIZLI299xyMyScN+6/3S/DwsLMulRam2/hubj/Vl9mFShsnQsAXz0DaH2etVptGwaWte8Jx8nKNAmrTRORVWPnqnERMjRZkzXL59ByDthzKByzZS01MQp9tVqNgIAAh++4XbjsL/0Xq1evpoSEBKeSmEStYiwxyTAhjEYj/fOf/6TffvvNqXMVFhbSwoULqbCw0Knv7dq1iz7//HOnvsP9V8jnbIKwuLiY9uzZQ5WVlU6fb8GCBeTn50eHDh1y6rt5eXlOCxxZEtPZEFJZWRn9/e9/d4qoQNR6X5wlYuj1eiooKBCt/WA4deoU/fjjj05rawwGA1177bUUHh5Oly5dcmqcmzZtot9//93p89XU1DjNslQqlbRz505SKpVOfa+8vNxpxp7BYKCGhganx1hWVkZ5eXl8+FUsWBjP2RAOI0g4+zw3NTXRhQsXXCYCOAOO46i8vNxp9iIL/TkbVmtqaiKlUtnukGH7aioDeOihh3DjjTdi+fLlyM3NFf29kJAQfjcrFlKpFP369cOlS5dcGarTKC4uRq9evZz6DtsBOGPl6+rqkJ+fj169elmtd2YPEokE7733HsaMGYObbroJRUVFor8bGxuLlpYWqFQq0d9h4QShF+QpcP+tUutsb4n6+nrIZDKnOupduXIFBQUFLlUOlslk+PrrrxETE4N58+aJJhz4+vpi2LBhuHLlilkNPTHnY6X9PQ2j0Qij0eh0hVyNRgOZTOaUxqu2tpb3BpwpdAn8T6MBgK9mLAY+Pj58C2uxJALgf56sWq12apyuQK/X83XTnIGtEkj2wHrcOFuJ2RrabVwkEglWr16NgQMHYsGCBaLFWTKZDIGBgXyPcrFIS0tDcXGx04I8Z1FfX4/m5mbR1XuB/3XQc4axolarce7cOURFRaFv374ujVUul2PTpk0ICgrCvHnzRBsLVmG5qqrKKUaIn59fhxgXxlRxxriw/hwRERGi56Cmpga5ublISUmxGsoSg/DwcGzevBnV1dW4/fbbRYtOU1NTERoaihMnTjh1vo6aA/aeOWNc9Ho93+hMLJqamtDQ0ICoqCiXG1VJJBLI5XJebCgWbNF25jtSqRT+/v4dYlxYJWxnDDUreukMC451CxWGrtuDdhsXoPXBW79+PQBg4cKFohd+hUIBIhJFFWXo378/OI5DXl6eS2MVi6KiIkilUqeaWbGS3GInxmAw8LmhQYMGtau8dXR0NDZv3ozCwkLcc889og02y2UI8yOO4Ofnx1el9SQYecCZXWxdXR1fmFMMmpubkZ2djejoaKSnp7s6VACtz+Z3332HPXv24OGHHxb1HYlEghEjRqCqqsqpigmMVOHMxswVWCvkaQ/03wZcvr6+ohc2jUaD6upqhISEOF3W3xJSqRRyuRxGo1G0Z8e8HmYUxSIoKIjvEeRJsDkQC7bJdYaGbDAY+Hxce1olC+EW4wK0LlIbNmzAhQsX8PDDD4vWTQQHB5t1UXSEiIgIREVFeTw0VlRUhMTERNEvCPff0t/OfJ41Kxs6dKhbdgpDhw7FV199hS1btuDpp58W9R3WVpp1+xMD1kbV0ztntVrt1C62ubkZer3eKsHDGgwGAw4fPgx/f39kZma2y7gzTJs2De+88w7eeecdvPfee6K+k5CQgLi4OJw4cUK0sWAG15OhMWYonPFAmD5LrO7KYDCgoqIC/v7+LnXKtAYWjnPGWDAigDMRkaCgIJ4k4SmwXjTOGBdGWBC7FrH0hJ+fX7sbhAnhNuMCAOnp6VizZg1+/vlnvPnmm6K+w9qIiq3JBLSGxi5fvuyxHYPRaER5eblTITHmtYiNU166dAkqlQpDhw5164TOnTsXr732GlauXIlPP/1U1HdiYmJARGY9cOxBIpHAz8/PqTCCszAYDNDr9aKNCxGhoaEBQUFBou4nx3HIzs6GXq/H2LFj3bZbA1qp+n/729/wt7/9Db/99puo74wYMQJNTU2i68p1RO6LxfrFPp+MHi2Xy0W9BxzHoby8nG/A5w7jzuDn5wepVCpajAyAb3sh1iNnrDtPhsaE3TDFQOi1iAETyfr4+LgsxLYFtxoXALjuuuvwxBNPYNWqVdiyZYvDz0skEigUCmi1WtEvSlpaGhoaGkQvhs6irKwMJpNJdDKf+2/DIbE7hZKSElRWVmLAgAFOJZ3F4uGHH8aiRYuwZMkSHDp0yOHnZTIZIiMjUV9fL3on7Ofnx/fu8ATYCyuWW69UKmEymUSHVc6cOYPa2lpkZWW5HOO3h9WrV2P69Om47bbbRHnZ4eHhSElJ4TulioGvr69HPRfWxEtsWNLZ/ExlZSWMRiMSEhLc4rlbgoXztFqtqOeUhfLEFjxlbYidISU5C51OB19fX6c6UIoNzdN/KccAnC6GKQZuNy4AsHz5ctx0001YsWIFTp065fDzAQEB8PX1Fe29pKSkQCqVeiw0xrQ1YsMrTLgk5gFoDzNMLCQSCd59912MHTsWN998cxtNhjVERkZCKpWKJmSwBcdTO2fGsxdzT00mEy84E+OBFBQU8MwwZ0sJiYUlg0xMTmvYsGEwGo04e/asqHN4OvfFGkiJgclkgl6vh7+/v6hFqj3MMLFwhUHm7+/Pa2bEICgoCBqNxqlcjTOwJjq1BWdD8+5khlmDR4yLRCLB66+/zjPIxJQVDwkJ4ZNKjuDn54c+ffp4zLgUFRWJ9lpMJpNor8UdzDCx8PPzw6ZNmxAcHCyKQebj44OYmBg0NTWJ2rmx3uOeMC70X9GrWI+CUX/FeC3V1dU4ffo0UlNTXWaGiUVYWBi2bNmCmpoa3H777Q69jMDAQAwaNAgXLlwQFWrxJCXZZDLBYDCIDpVotVqe1usIjBkWHR3tEa9RCGZgxDLIGCtLrLfDxu8J74XRo8UaeGc2ue5mhlmDR4wL0LoD+OSTT+Dj44OFCxc6XLD8/Pwgl8t5NbAjDBgwAAUFBW7ftalUKjQ0NIjKt9B/W52KYWXo9Xq3McPEIioqClu2bEFxcTHuuusuh7sr1m7ZGe/FE8ZFq9XyOypHMBgMaGpqatNP3hqam5uRk5ODmJgYDB061F3DtYt+/fph06ZN2Lt3rygGGVPri/H4JRIJn7h2N9gmT8zCxphZYgwRY4aFhoZaLeniCTCjJ5ZB5u/vz7dGdwSZTAY/Pz+P5F1YmRoxnp0zm1xPMMOswWPGBWhNFG/YsAGXLl0SxSBzRljZv39/GAwGUSEfZ1BcXAyJRNKmfI01iBVMchyHs2fPguM4pKene2ynYA2DBw/GV199ha1bt+Lvf/+7w88zYaWYEKWfnx9MJpPbQwKsCq+YcIBYwaRer+eZYaNHj+4Q484wdepUrF27FmvXrnVYk08mk2HYsGEoLCwUJaxkeRd35760Wi2fFHcEsYJJITPMWaFqe+EMg8xZYSWjJLsbYmqnMYgVTHqKGWYNHjUuQCs9ds2aNdi8eTPeeOMNu591RlgZFxcHhULh9tBYUVERYmNjHe7YnBFMCplhzqps3YE5c+bg9ddfx2uvvYYNGzbY/WxQUBCCg4NRXV3tcMHyVN5FLAVZo9GIEkxyHIecnByPMMPEYsmSJVixYgWWL1+OXbt22f1samoqwsLCcPz4cYfH9RQlWSwFmS3WjrwWTzLDxMIZBpkzwsqgoCAYjUa3sidZ3kfMHIgVTHqSGWYNHjcuQCs99sknn8Trr7/usBWvWGEla9fqTuPCcRxKSkpEhcTEsjKKi4s9ygwTixUrVuD+++/HkiVLcPDgQbufFSus9ERYxmQyQavVimKJ1dfXixJMnj592qPMMLFYtWoVZsyYgdtuuw0XL160+TkmrKyurkZpaandY7KihO40LmzH7mhhYzoYMR6Op5lhYiGWQeaMsDIwMBASicSteRf2Tond5DoKzXuaGWYNHWJcAOBvf/sbbr75Zjz00EM4efKk7QEJhJWO8ilpaWmorKx0SiNjD1VVVdDr9Q6T+WJZGbW1tSgoKEDv3r09xgwTC4lEgrVr12L8+PG4+eabceXKFZuflcvlCA8PFyWsZOEDd4VlhC+APYgVTBYUFODKlSvIyMjwGDNMLBiDLD4+HvPmzbMb9oqPjxctrHR37kur1fJaJntgHoAjI8SYYfHx8R5jhomFMwwyscJKiUSCwMBAt4bGtFotZDKZQ0MsVjDpaWaYNXSYcWEMssGDBztkkDFhpSOGU79+/SCRSNzmvRQVFUEulzs0BGIEk83NzTh//jyioqI8zkoSC8YgCwkJwQ033GDXKEdHR4sSVvr5+YGI3LZzVqvVkMvldl8WsYJJITPMGUGsJxEaGorNmzejrq7OIYNs5MiRUKlUDksduTv3xUJijkKNYgSTQmaYs/1APAVnGGQBAQGihJVM7+Kucjzs3tqDWMFkRzDDrKHDjAvQustdv349ZDIZFixYYJNBJlZYGRQUhMTERLcZF1YF2dFL5Si+qdfrcebMmQ5lholFZGQkNm/e7JBBJlZYyfptuGvnLIaCLEYwqVKpOpwZJhapqanYtGkT9u3bhxUrVtj8XFhYGFJTU3H69Gm7c8BySO4w8MxoOPJGxAgmvcEMEwuxDDLWOtkR2zUoKIhv+91eGI1GUYU/xYTm9Xp9hzDDrKFDjQvwPwbZ5cuXsWLFCpuWXqywMi0tDXl5ee3eMWi1WlRVVTkMiTniknuTGSYWgwcPxtdff41t27bhqaeesvk5scJKd4VldDodjEajXePCBJMhISE2XxZvMsPEYsqUKXjvvffw3nvvYe3atTY/N2zYMJhMJrvCSnfmvthO3t7CJkYw6U1mmFiIZZCJEVb6+flBJpO5JTSm0+kchiXFhOZNJhM0Gk2HMMOsocONCwAMGTIEb7/9Nn755ResXr3a5ueYsNLebiAtLQ0tLS1OVZS1hpKSEgCwa1zEcMkvXrzoVWaYWMyePRurV6/GqlWr8Mknn1j9jFhhpZ+fn1sq9IphsjCSga2dMGOGGQwGrzHDxOL+++/HQw89hBUrVuDXX3+1+hnm/ToSVrqrFAyL9dt7xjUajV3BZGdghokFIyMwbZU1sBI4jkgA7qIkM5KEvfsmZpPLKP0dwQyzBq8YF6CVHvvUU0/hjTfewE8//WT1M8ziqlQqm5OanJwMuVze7tBYUVERIiIi2rRrZhAjmCwuLkZVVRUGDhzoVWaYWCxfvhxLlizBX/7yFxw4cMDqZ8QIK91FSWYlX+zthlUqlV3BZG5uLurq6jBmzBivMsPE4rXXXsPMmTNx22234cKFC1Y/M2jQIIfCSnflvhxRkFn+wd6C1VmYYWLBClDaMx5iqMlBQUHQ6/XtmgMigl6vt7sxdbTJ9QYzzBq8ZlwAYNmyZbj11lvx8MMP22SQKRQKu8JKd3WnLC4utpv0dSSYFDLD3FU63NOQSCR45513MGHCBNx8880oKCiw+jlHwkp3VOgV03Wyvr4evr6+Ng13QUEBCgsLMXz4cERGRro8lo6ETCbDl19+iYSEBJsMMplMhuHDh6OwsBB1dXU2j9PeUjBiuk46Ekx2JmaYM3DEIGNKeXsaGUZYaA8lWUzXSUfUYyEzzJteo1eNi0QiwWuvvYYhQ4ZgwYIFqKioaPMZMcLKAQMGoKSkxOVkWl1dHdRqtU3j4kgwyZhh0dHRnYYZJha+vr747rvvEBYWhnnz5lk1IGKEle3Nu7S0tNjtOskEk+Hh4VbngDHD+vXr12mYYWLBGGQNDQ247bbbrBqIlJQUhIWF2e1Y2d45YBRkW8bFkWCyMzLDxEIMg0yokbEGFoJqT2jMUddJJpi0tcn1FjPMGrxqXIC2DDJrVt+RsJJ1pxTbC8MSRUVFkMlkNrtO2mNlsJphgYGBGDhwYKeOL9tCZGQktmzZgrKyMvzf//2f1eSmI2GlXC5vV4VeR10n6+vr4e/vb9X4CJlhQ4YMcen83kZqaiq+//57HDhwAH/729/aGHExwsr25r7sxfodCSY7MzNMLBwxyJgBMhgMNgkA7e1Oaa/rpCPBJGOGMTKUt+F14wK0aio+/fRT5Ofn46GHHmrzcjgSVoaHhyM6Otrl0FhxcTESExOtvjT2WBmsmyQRua2bpLcwcOBAfPPNN9i+fTueeOKJNn93JKxkXp2rJTDsUZDtCSaFzDB3dZP0FiZNmoT33nsPH3zwAd555502f4+Pj0d8fLxNYWV7KMmOuk7aE0wyZlhAQECnZYaJhSMGmSNhZWBgoMvdKR11nbQnmBTWDOssRKJOYVyAVnrs22+/ja1bt+L1119v83dHwsq0tDRcvHjR6R2DwWBAeXm5TZaYPVbGxYsX0dzc3OmZYWIxc+ZMvPnmm1i9ejU+/vjjNn+3J6xk1ElXwjL2uk4SEerr6xEUFNTmHrNukowZJraPRWfGokWL8Mgjj+Chhx7Czp072/x9xIgRaG5utiqsbE/uS6fTgYishrzsCSaFzLC4uLgubdwZGK3YFoOMCSutGfGAgABIpVKXQmP2uk7aE0wyZhhLIXQWdBrjArTSY5966im8+eab+PHHH83+5khYmZaWBqVSiZqaGqfOaa/rJGNlWJvQrsYME4tly5bhL3/5C5YuXYr9+/eb/U0mkyEqKgr19fVW58DV7pRqtZovoWEJpVIJjuOsei25ubmor6/vMswwsXj11Vcxe/Zs3H777W0YZGFhYUhJScHp06etzoGrlGTWddJaOMWeYLKrMcPEghlSawwyRtW25724alyYZ2QJW6F5S2ZYZ0KnMi4A8OCDD2L+/Pl4+OGH2yQv7Qkr+/btC5lM5nRorLi4GAqFwurixcpYW042Y4b16dOnyzDDxEIikeDtt9/GxIkTccstt7RhkEVEREAqlaK6urrNd12lJKvVap4OKoTJZEJjYyNCQkLaeCX5+fldjhkmFlKpFF9++SUSExNx/fXXt2GI2RNWutqd0lZIzJ5gsqampksyw8SC3Q9rRsSesDIoKAhardbpcjy2Sr7YC813FmaYNXQ64yKRSPDqq68iPT0dCxcuRHl5udnfbQkrXe1OyUq+WMIWl1zIDOtqrCSx8PX1xbfffovw8HDMmzcPSqWS/5s9YaUr3SntdZ1saGiARCJpkyCuqqrCmTNnuiQzTCxCQkKwefNmNDY2Yv78+Wb3lAkrL1682GaH7AolmXWdtGZcbAkmlUolGhsbuyQzTCxYAp+FBYWwJ6x0pTulva6TtkLznYkZZg2dzrgArS7pxx9/DF9fX9x3331mk2RPWJmWloYrV66IfrEYddJygbIlmOwOzDCxiIiIwObNm60yyJiw0lrxUWfzLhqNxmrXSb1eD5VKhfDwcLOXijHDYmNjuywzTCxSUlLw/fff49ChQ20YZIMGDYJcLm+jD3OlFIytsJfBYLAqmNRoNKipqenSzDCxsMcgsyWslMlkkMvlToXGbHWdtLXJ7WzMMGvolMYF+B+D7MqVK21qkNkSVqalpTnVnZJ1nUxKSjL7PVtIhRPanZhhYjFw4EB8++232LlzJx5//HGzv8XGxkKj0bQJUTpboddW10kmmFQoFPzvGDMsMDCw09YMczcmTZqE999/Hx9++CHefvtt/vesY2VRUVGbsJmz3SkZxdjazthSMNmdmGFiYYtBZk9Y6WzexVbXSWvUY6PR2OmYYdbQaY0L0Lo7W7t2LbZt24bXXnuN/71MJkNQUBBUKpXZpMbGxiIkJER0aKy4uBhxcXFmEyQUTArBmGHp6emdekLdjWuvvRZvvvkm3njjDaxbt47/fVBQEBQKRRthpbN5F2tdJzUaDTQajZlgsjsyw8Ri4cKFePTRR/Hwww9j+/bt/O+ZsNKyY6Wz3Smt5VusCSa7Us0wd8MWg8yWsNKZ7pS2uk5aE0x2VmaYNXRq4wK00mOffvpprFmzBj/88AP/e1YDTCisdKY7pa2uk9ZYGUVFRTwzTLiTvlrw4IMPYunSpVi6dCn27t3L/z4mJgZ6vd6sZAmjJIt5qdjLZ2lcrAkmhcywzv5SeQIrV67EnDlzcMcdd+D8+fMAWu/1yJEjUVNTwxdeBZzLfVnrOmlNMElEqKio4JlhHdVwqjPBGoPMlrCSdacU471YoyBbE0wyZphEIul0zDBr6BJPyNKlSzF//nw88sgj/C7NlrAyLS0NVVVVZkloa6isrGzTddIaK6OmpgZXrlzplswwsZBIJHjrrbcwefJk3HrrrXwlBCasrK2tNXuxxFKSWVhTaCxUKlUbwSRjhmVkZHQ7ZphYSKVSbNy4EcnJyWYMsri4OMTHx+PkyZNmO2qxlGRrXSetCSZra2vR0tLSbZlhYmGNQSasrMzgTHdKnU7XpuukNcFkZ2aGWUOXMC6sBtnw4cOxcOFCvry+NWEl6055+fJlu8csLi6Gv7+/mcGwZGU0NzfjwoULiImJ6basJLHw9fXFN998g8jISDMGGRNWCvVFYiv0WnadFHaYZLs4xgzr37+/w1473R2MQdbU1IRbb72V90yYsFL4zIvNfVl2nRQ2C2PvAWOGxcTEXJVeoxC2GGT+/v5tkv5BQUE8YcUeLCnI1gSTnZ0ZZg1dwrgArS/LunXrIJfLcd999/HuoaWwMjAwEElJSbh48aLd4xUVFSE5OZl/qSwFk0Jm2IABA7rETsHTYAyyiooK3HHHHTAajbywsqGhgZ8Dsd0pLfMtloJJITNs8ODBnruwLoS+ffvihx9+wO+//45ly5aBiMw6VrJ7LqYUjLWuk2z3zRY7xgwLCwtDaGiopy6rS8Eag8yasFJMd0prXSctQ/NdgRlmDV3GuABAVFQUPv30UxQVFWH58uXgOM6qsNJRd0pWZE/ojQgFk4wZBuCqYYaJxYABA/Dtt99i165deOyxxwC0Gh2ZTGYmrHRESWYiM2ZcLAWTer0ef/zxx1XFDBOLa665Bh9++CE++ugjvPXWWwBahZWsCyogjpJs2XXSUjDJSiMFBAQgKirKw1fVtSBkkLGwvKWwUkx3SsuwpGVovqsww6yhSxkXoJUeu3btWuzYsYNnkFkKK9PS0qDRaGxWj7XsOmnJJb9w4UK3qhnmbsyYMQNr1qzBW2+9hQ8//NBMWMnyKI4q9Fp2nRQKJjmOw5EjR2Ayma46ZphY3HfffXj88cfx6KOPYtu2bfD398fgwYN5ViPgOO9i2XVSKJhkzDCZTHbVMcPEghkPlqOyJqx01J2SUZDZ/RWG5rsSM8waupxxAVrpsc888wzWrFmDTZs2tRFWJicnw9/f3yZrrLi4GJGRkbzbKhRMFhUVobq6GoMGDboqmWFi8cADD+CBBx7Agw8+iD179iA0NNSsY6UjSnJLSwvPqLEUTJ46dQoNDQ3Iysrqki9VR+Hll1/G3Llzceedd+LcuXMYOHAg5HI537HSUe5LSEEWCiaFzLD4+PirkhkmFpYMMkthpb3ulJZdJ4Wb3K7GDLOGLvvU/PWvf8Xtt9+Oxx57DMeOHeOFlWxHbK87ZVFRER8SEwomhcywq0Ug1h68+eabmDJlCubPn4+8vDwzYaW9Cr2WXSeFgsn8/HwUFRVd1cwwsWAMsl69emHevHlobGzE8OHDUVRUhNraWru5L8uuk0LBZA8zzDkI76GlsJI949a8F9Z1UhiWZJvcrsYMs4Yua1wkEglWrlyJjIwMLFy4EJWVlQgKCuI7VqalpVntTslenF69epkJJlUqFc6fP4+YmJgu103SW2AMsqioKMybNw8GgwEKhQJVVVX8Ls7awsa6TgYGBvKCyYiIiB5mmAtQKBTYvHkzVCoVbr31ViQmJiI8PJyn7NsKjWk0Gp75JBRM9jDDnIclg0worGShX2vGhVWilslkZoLJrsgMs4Yua1yA/zHIAgICcN999/EWvrm5GWlpaSCiNn0viouL+a6TjJVhMplw5swZBAUFYeDAgd64lC6L8PBwbN68GZWVlbjjjjsQEREBg8GA+vp6vkKv5eIm7DrJBJMmkwlHjx7tYYa5gD59+uD777/H4cOH8eCDDyIjIwO1tbUoKSmxmfsSdjzUaDT8bru6urqHGeYChAwy5hEyYWVQUBC/oRKCGSIh9dhgMHRJZpg1dGnjArS26N2wYQOKi4uxYsUKPoEWHByMmJiYNqGxoqIiJCUlQSKRgOM4+Pj44PTp0wBamWE98WXnkZaWhu+++w6//fYbnn76aV5Y6ePjw+dUhGAUZCaYDAoK6mGGtROMQfbxxx/jq6++QkJCAk6cOMHvfIUGnoh4CjLLDUilUlRUVCAwMLCHGeYiZDIZz5L08fHhvZCgoKA23SmFXSeZYBJAl2WGWUO3WEkHDhyId999Fzt37sTbb7/NCytZKRi2Y2BF93r16sWzMi5dugS1Wt3DDGsnpk+fjrfffpsv08OElZaUZJbcDAgIQENDAwIDA3Hq1KkeZpgb8Oc//xlPPPEEHnvsMb7XSl5eXpvcF+s6ybwVX19fVFZW9jDD3ABfX1+eQca8RlaORxgaY0adiV1ZqZiuygyzhm5hXIBWeuw//vEPrF27Fr/++iu0Wi369OkDpVLJl8qorKyEyWRCYmIiiAilpaU9zDA3YunSpVi2bBlWrFiB8+fPo6GhAQDMSsGwWL/BYADHcSgqKkJDQ8NVWzPM3XjppZdw/fXXY9GiRZBIJHwlb+a5sLphUqmUZyfV19df1TXD3A3GIGOGRavVmpWCYZ4jCxsD/9O7dFVmmDV0q23ikiVLcPHiRTzzzDNYt24dhgwZAplMxndTLCsrg0KhQEhICGpra1FUVIS+ffv2MMPciDfeeAMXL17EwoUL8c033yAwMBABAQH8zrmlpQWRkZFQqVSora1FeXk5Ro0aZbUTaA+ch1Qqxeeff44JEybgqaeewtNPP41du3YhLy8P586dQ3l5Ofr3748ZM2Zg/PjxfLgmISGhy8f4OxP8/f15MpHRaERxcTG2bNmCiooKaLVaREZGYvr06Zg0aRJkMhk4jkNwcHC38hol5GzD804OvV6PO++8E5cuXcKnn36K7OxsVFZW4ty5cxg+fDjGjh2LjIwMnD17FtHR0T3JYw+goaEB48aNg8lkwn/+8x8kJiaivLwcn3zyCebNm4f+/ftDqVSipKQEAwcO7JkDD6CoqAiZmZl8Z8oRI0Zg7NixUCgUKCwsxP79+xEWFoZHHnkE11xzTU8C3wPgOA61tbVYs2YNNm7ciMGDB7eZg6ioKDz77LPIzMzsdsa92xkXAKirq8P111/PF7QU9hrPzMzE7bffjmnTpiEjI6MnDOAhXL58GWPGjEF8fDyCgoKQk5PD/23UqFG49tprcdNNNyErK6tb7dY6C7RaLe6++25cvHgRq1atwuTJk83qVxUXF2PDhg3YtGkTvvjiC6Snp3txtN0TWq0WjzzyCH7//Xe88sorNufghx9+wH/+859uNwfdcmWNjIzEuHHjcPbsWTPDAgA5OTl4/PHHsXXr1h7D4kH0798ft9xyC86dO2dmWADg+PHjeOWVV7Br164ew+IhfPvttzh9+jQ+/PBD7Nq1C2vXruXzLidPnsSCBQswevRo3HHHHXjyySed6prYA3FgNfjeffddu3Nw2223dc85oG6IrVu3EgCHP9u2bfP2ULsteubAe2hubqZx48bR6tWraePGjSSXy8nf359WrlxJ2dnZNHjwYAJA11xzDRUXF9O4ceNo+/bt3h52t0LPHBB1S+Mybdo0kkqldhc1qVRKM2bM8PZQuy165sB7OH36NCUnJ9PFixdJqVTS/fffT1KplPz9/Sk2NpYAUL9+/ejw4cPEcRw999xz9Pjjj3t72N0KPXNA1O3iQnV1ddi9e7fDJkkmkwm7du3iaco9cB965sC7YKWQoqOjoVAo8Prrr+PGG2+EVqtFVVUVoqKi8Mknn/D5rrS0NFy+fNlh59AeiEfPHHTDnAvTVnjq8z1wjJ458C6YeI/1GcnPz8f58+f5v6tUKvz++++8/oi1SeiB+9AzB93QuISHh3v08z1wjJ458C4CAgJQX1+Py5cvIzc3F/fccw/Onz+Pfv364cYbb4TRaMSzzz6LN998E3q9HtnZ2cjIyOghV7gRvXv3hl6vv6rnoNsZFyZOclRNVCqVYsaMGT1l3T0AhUKB5ORkh5/rmQP34vz587j//vsxYcIENDU1Yd26dTh16hSKi4vRr18/fP755/jss8+wYMECGAwG/PTTTzh69Ci2bduG+fPne3v43QqJiYkYNWrU1T0H3k35eAbbtm3rYSp5CYWFhZSVlUUymaxnDjoAHMfR3r176frrrycAFB8fT6+88grt27ePEhMT6a233qINGzZQdnY2cRxHHMeRUqmkf//737R7926aNWsW3XnnnWQymbx9Kd0Ku3fvpoiICAoICLhq56BbGhciopdeeskmQwkAvfzyy94eYrfDzz//TOHh4dSnTx/Kzs7m58CSNdYzB+2HwWCgr776ikaPHk0AaOjQobRhwwbS6XRE1Gp0vv/+e4qJiaEHH3yQcnNzSaVSkVarpZqaGvr+++8pKyuLMjMzSalUevlqug9MJhP9+9//Jh8fH5o2bRqtX7/+qp2DbmtcDAYDxcTEUHx8vNnCNmPGjJ7dspuh1+vp8ccfJwB0ww03UH19Pf+3bdu20YwZM3rmwE1QqVT01ltvUZ8+fQgATZ8+nbZt20Ycx7X5LMdx9N133xEACg8Pp/T0dMrKyqI+ffpQREQELV++nNRqtReuonuiurqaZs2aRRKJhJ599lkyGo3EcRwdPXqUJk2aRJGRkWZzIJPJaPr06d12Drqtcfn6668JAJ04cYJqa2vp8uXLVFtb6+1hdTuUlJTQhAkTSCqV0qpVq6wuckTUMwftRHl5OT399NMUHh5OUqmU7rrrLjp+/LjD7y1dupSio6Pp/Pnz9P3339O6deto9+7d1NTU1AGjvnpw8OBBSkxMpOjoaNq5c2ebvxsMBiooKDCbg7lz59KQIUNsvjNdHd3WuIwbN46mTJni7WF0a+zYsYOioqIoKSmJDh065O3hdEucPXuWFi5cSH5+fhQcHEyPPPIIFRUVifpuXV0dBQYG0nPPPefhUV694DiOXnvtNZJKpXTNNddQaWmp6O/u2bOHAFg1Rt0B3dK4HD58mADQTz/95O2hdEsYjUb6xz/+QRKJhGbPnk01NTXeHlK3AsdxtGfPHrruuusIACUkJNDKlSupoaHBqeO88sor5OfnR1VVVZ4Z6FWOuro6mjdvHgGgJ598kgwGg1Pf5ziOMjIyaM6cOR4aoXfRLY3LHXfcQampqWQ0Gr09lG6HiooKmjp1Kvn4+NCLL77Y7Rgu3oTBYKAvv/ySRo0aRQAoPT2dPv30Uz5J7wz0ej0lJibSggULPDDSHhw5coR69+5N4eHhtHnzZpePs2HDBgJA586dc+PoOge6nXEpKioiqVRKa9as8fZQuh12795NcXFxFBcXR3v27PH2cLoNVCoVvfnmm9S7d2+e8LB9+/Z2xeI3btxIACg3N9eNI+0Bx3H01ltvka+vL40ZM4YKCwvbdTytVkuxsbH0l7/8xU0j7DzodsbliSeeoNDQUFKpVN4eSreByWSiF154gadXVlZWentI3QLl5eX097//ncLCwkgqldLdd99NJ06caPdxOY6jzMxMmj59evsH2QMejY2NdOuttxIAeuihh1zyKK3h+eefp4CAgG5HdulWxkWlUlFYWBg99thj3h5Kt0FNTQ1Pr/znP//ZE2p0A86cOUMLFiwgX19fUigU9Oijj4pO0ovBoUOHCABt2bLFbce82nH8+HFKTU2lkJAQ2rRpk1uPXV1dTXK5nF566SW3Htfb6FbG5Z133iEfH592u6o9aAWjV0ZFRdGOHTu8PZwuDY7jePopAEpMTKRXX32VGhsb3X6u+fPnU1paWk8+zA3gOI4++OADksvlNGLECMrLy/PIeRYtWkQJCQlu84Y6A7qNcTGZTNS/f3+67bbbvD2ULo/20Ct7YA6WpB85cmS7k/RiUFhYSD4+PrR27VqPHP9qgkqlorvvvpsA0NKlS0mj0XjsXKdPnyYA9MUXX3jsHB2NbmNcNm/eTADo999/9/ZQujTq6+vphhtucJle2YNWNDU10RtvvMEn6a+99lrasWOHxwVzjz76KIWFhVFzc7NHz9Pdcfr0aRo4cCAFBwfTl19+2SHnvPbaa2n06NHdRlTZbYzLtGnTKCsrq9tMjDfgLnrl1YyysjJ66qmnKCwsjGQyGd1zzz1uSdKLQVNTE4WEhNATTzzRIefrrtiwYQMFBARQeno6XbhwocPO+8svvxAAOnDgQIed05PoFsbl5MmTBKDDdhjdDRzH0Zo1a8jX15eysrJ6clYu4PTp03TffffxSfrHHnuMiouLO3QMb731Fkml0g4/b3eBWq2mhQsXEgBauHBhh9f8MplMNGDAALrllls69LyeQrcwLgsWLKCkpCTS6/XeHkqXQ2NjI82fP9/t9MqrARzH0W+//UZz5szhk/SvvfaaR5L0jmA0Gik1NZXuvPPODj93d8CFCxcoPT2dAgIC6JNPPvHaON577z3y8fGhgoICr43BXejyxqWyspL8/Pxo5cqV3h5Kl8OJEyeoX79+FBISQt999523h9NloNfraePGjXySftiwYfTZZ5951TD/+OOPBICOHDnitTF0VXz55ZcUHBxMAwYMoNOnT3t1LGq1msLDw+nhhx/26jjcgS5vXJ599lkKDAw0K/PeA/vgOI4+/PBDj9Mruxuamppo9erV1KtXLwJAM2fOpJ07d3aKPN/kyZNp3Lhx3h5Gl4JGo6GlS5cSALrrrrs6jfD6qaeeIoVC0eV7vHRp46LRaCg6OpoeeOABbw+ly6Aj6ZXdBaWlpfTkk09SaGgoyWQy+tOf/kQnT5709rB4HD9+nADQN9984+2hdBnk5eXRyJEjSS6X0wcffNApNggMpaWlJJPJ6I033vD2UNqFLm1c1q9fTwDo4sWL3h5Kl8CZM2do4MCBFBQURBs3bvT2cDo9Tp8+TX/+85/J19eXQkJC6PHHH6eSkhJvD6sN7r33XurVq1cPbVwkNm3aRCEhIZSamiqqJ443cNddd1Hfvn27dEWMLmtcOI6j9PR0uu6667w9lC4BRq8cOnQonT9/3tvD6bTgOI527dpFs2fPJgCUlJREq1at8kqSXgzKy8vJ19eXXnvtNW8PpdNDp9PRQw89RADo1ltv7bRzSkSUnZ1NAOj777/39lBcRpc1Lrt27SIAtGvXLm8PpVNDSK9csGBBt22p2l7o9Xr64osvaMSIEQSAhg8fTv/5z386PQPx//2//0dBQUFO93q52lBUVERjxowhX19fWrNmTacKg9nChAkTaOLEid4ehsvossbluuuuo/T09C7xkHgLnYVe2ZnR1NREr7/+OiUnJxMAmjVrFv36669d4rlqaWmhqKgo+tvf/ubtoXRqbNmyhSIiIqh3795dik333XffEQA6evSot4fiErqkcbl48SIBoI8//tjbQ+m06Ez0ys6I0tJSvj2DTCaje++9l06dOuXtYTmFjz76iCQSCV2+fNnbQ+mUMBgM9OSTTxIAmjdvHtXV1Xl7SE7BYDBQ79696Z577vH2UFxClzQuDzzwAMXExPQwnaygs9IrOwtyc3Pp3nvvJZlM1qmT9I7AcRwNGTKEbrjhBm8PpVOitLSUJk6cSFKplF577bUu4Ylaw+uvv04ymYzKysq8PRSn0WWMC3s46urqKDAwkJ599lnvDsgLcPSC5Ofn8/TK999/v8u+UPbgyjVxHEe//vorzZo1iwBQcnIyvf76611SR8Cuf8eOHQTgquwI6ugZ2LlzJ0VHR1NiYiIdPHiwg0blGTQ2NlJwcDA9/fTT/O+6ynstQycFx3HIy8vDjh07cOrUKWi1WvTq1QvV1dUwGAxYunSpt4focdi6B9OmTcP48eMRGBjIf/aHH37AggULEBUVhT/++AMjRozw4sjdB2fugSUMBgO++eYbrFq1CidPnkRGRgY+//xz3H777fD19e3Aq3Adtq7/119/xbBhwzB58mRvD9HjEPsMmEwmPP/88/j3v/+Na6+9Fp9//jmio6O9PPr2ITQ0FAsXLsTatWsRERGB8+fPO/UOeBM+3h6ANajVarz00kuYO3cuduzYgT59+iAzMxNarRaHDx9GXFwcampqvD1Mj8LePXjqqadw22234cyZM9Dr9XjkkUdwyy23YMaMGTh27Fi3MSxi74Elmpqa8PrrryMlJQX33HMP4uLisGvXLhw/fhx33313lzEstq5fo9GgpaUFEokEZ8+e9fYwPQqxz0BVVRVmzZqFF154Ac8//zy2bdvW5Q0L0Hr9UqkUBoMBu3fvFv0OdAp423WyhEajoQcffJAyMjJo165dpFar6e2336ZHH32UDh8+TDU1NfSvf/2LRowYQbm5ud4erkcg9h4MHTqUhg0bRr6+vvTWW291GXdZDFx5DkpKSujxxx+nkJAQ8vX1pT//+c9d9hnpeQ/E34MBAwZQZGQkxcbG0u7du709bLehqz8Dnc64fPbZZ9S/f386efIkcRxHWq2Wxo0bRwDoo48+IqJWTcKLL75Ic+bM6ZZNkcTegxdeeIECAwNp7969Xh6x++HMc3DNNdfQnXfeySfpn3jiiS7fPbPnPRB/D/79739TVFQU5efne3nE7kVXfwY6VVhMrVbjvffew9KlSzFs2DBIJBKrn/P19cUDDzyApqYmHDx4sINH6Vk4cw8efPBBZGRkQKvVdvAoPQtnnwONRoNdu3bh1VdfRUlJCVauXInExMQOHrX70PMeOHcPli1bhgEDBuDy5csdPErPoTs8A50qoX/lyhWUlpZi3Lhx2LZtGziOg9FoRENDAwAgNzcXW7ZsAQAkJiZi5syZ+O233zBr1ixvDtutcPYezJo166q/BzfccAOUSiUefvhhbw7bbeh5D3ruQbe4fm+7TkL8+uuvNGjQIPrhhx9ILpeTj48P+fj4EAACQBKJhP/dPffcQ1988QXdcccd3SrX0HMPeu7B1X79RD33oDtcf6fyXPz8/GA0GuHr64t+/frBYDCAiFBSUgKtVouYmBiEhoYCAGJjY6HVauHn5+flUbsXPfeg5x5c7dcP9NyD7nD9ncq49O7dG3q9HiEhITh06BAAQK/X4/rrr0d2djaeeeYZ3HvvvQAAmUyGRx55BGfOnMFnn32GWbNmIS4uzpvDdwucvQePPvooEhMTbcZkuyKcvQePPfaY3bh0V0Pv3r2h0+mu2uvnOA4hISHQaDRX3T34/+2dd1hU1/b3v0MRRVS6iiKiogIiigYLWABF7AoaiOnJL4nd67Wkasw1ibkmQcGuid0EpCmo9CZVpEjvItIZhj7AwMys9w/vzCtREWSayXyeJ09w5py91jlzzl57r73W2kSEpqYmEBHYbPZrff0ytaA/atQozJ07F5cuXcKgQYMwbNgwDB06FIqKigDQ7bOysjKEhYWhq6sLH374IfT09GBhYYEvv/wSUVFR6OzslPLVvBp9vQc3b97ETz/9BEtLS7i6uqK8vFzKV9B/RowYAS0tLVy4cKFX9yA8PBwmJibg8/lS1rz/lJaW4tixY6iuru719UdHR2Pp0qVS1rx/EBEaGhqQn5+PxMRE1NfXw9TUFBcvXuzVPYiNjX1t70FHRwcqKiqQnp6OyMhIJCUloaurC+bm5r3uB2Tx+mXKuCgpKWHPnj2IjIzE+fPn0dXVBQBgMBhQUFAAg8EAEaGmpga7d+/GW2+9hfT0dFRXV+PKlSuYMmUKLly4AFtbW2hra2Pt2rU4deoUSkpKpHxlvUdwD8LDw/H777+/9B68++67+PPPPzF69Gh89dVX0NfXx7x583DixAnU1NRI+Wr6zv379zF37lykpqbC39+/V8+BmZkZcnNzceHCBaSkpIDD4Uj5KvoGESEhIQEuLi6YNGkSrly5gnfeeadX78HOnTuRn58PT0/P1y5qkIjQ2NiIwsJCJCYmIjMzE83NzdDT08Ps2bNx6NAhREVF9eoZWL16NYyNjaV8Rb2Dz+eDxWIhPz8f8fHxuHv3LnJycsDhcGBgYIBZs2bBzs4OP/zwQ6/7Qlm8fgYRkbSVeBoiwo0bN7B7924sX74cH3/8MR49eoSmpiYYGxujqqoKv/zyCyZOnAhXV1cMHTq02/l8Ph8PHjxAUFAQQkJCEBcXBx6Ph4kTJ8LBwQH29vZYuHChzJZMAICqqiocOHAAt27dgpOTU6/vQXNzM27evAkPDw+EhISAz+fDxsYGLi4ucHR0hKamppSv7MU0Njbi66+/xqlTp2Bubo7Tp0+jsrKy189BR0cHUlNTkZ+fD0VFRUyZMgXTpk2Durq6tC/thXR1dcHX1xdubm5ITk6GkZERtm/fjnfeeQeqqqq9eg/Gjx8PHR0dHD16FAYGBjhx4gTs7e2lfWk90tzcDCaTCSaTic7OTgwcOBA6OjrQ0dGBmpqa8Lje9AWHDx+GlpYWLl++LFyDkEXa2tpQV1eHuro61NfXg8/nQ0VFBdra2tDS0oKWltYzlSP62xdKG5kzLsCTm5qamooDBw4gJiYG48aNg6qqKpqamjB48GB8/PHHePvtt3tlIJqamhAREYHg4GAEBQXh8ePHUFFRwfz582Fvbw8HBweYmJjIjK+ytrYWvr6+0NTUhIGBAVxdXZGSkgJ1dXUMHDiw1/eAxWLBz88PHh4eiIyMhIKCAuzt7eHi4oLVq1fLzINIRPDw8MDOnTvBZrPx/fffY8uWLVBSUhI+B4cPH+71PWCz2UhPTxfWoBo/fjwsLCwwevRoKV5ld+rr6/Hbb7/h5MmTqKyshJ2dHbZv344lS5ZAQeH/OxP6cv15eXnYtGkToqKi4OLiAldXV4wcOVKKV9md1tZW1NbWoq6uTrj4LDAoPT2LL7sHa9euhZ6eHiZNmoQ33nhDZt5jLpeL+vp6sFgs1NXVob29HQoKClBXV4e2tja0tbW7GdIX8aLrZ7FYUFJSwvbt23vdF0oamTQuAo4fP47vv/8ev/32GxQVFTFixAhMmDABQ4YMeaX2iAj5+fkICgpCcHAwoqOj0dHRgdGjR2PJkiVYsmQJFi1aJLXRbl1dHXx8fKCuro61a9cKI0bKyspQUlICDofzSvegpqYG3t7e8PDwQGxsLFRUVLBs2TK4uLhg+fLlGDx4sBiv6sUUFhZi8+bNCAsLw7p163D06NHnJj++yj3gcrnIzc1FWloaWCwWdHV1YWFhgYkTJwr91pKmoKAAx44dw5UrV8Dj8bBhwwZs27YNU6ZM6fG83l4/EeHq1avYtWsXOBwOfvjhB2zatElq19vW1oba2lowmUy0t7dDWVm5m0HpiyHo6R6UlpYiMTER48ePx8yZM8V4RT3T0tIinJ00NjaCiKCqqiqcnWhqar7yb/HX629sbERnZyfefffdbgMSWUKmjcvy5cuhoaGBq1eviqX99vZ23L17F8HBwQgODkZubi4UFRUxe/Zs4axmxowZEvnx6uvr4e3tDTU1NTg5OUFFRUUscsrKyuDl5QUPDw/cv38fqqqqWLVqFVxcXODg4CA2uU/T0dGBn376CYcOHcKoUaNw4sQJsS5GlpaWIjU1FY8ePcLgwYNhbm6OqVOnYtCgQWKTKYCIEBERAXd3dwQGBmL48OH47LPP8Omnn0JXV1csMhsaGvDll1/izJkzmDFjhvD/kqC9vV3o8mKz2VBSUoK2tjZ0dHSgrq4utplFSUkJkpKSMHHiRIkVbu3q6hLOTFgsFjgcDhQVFaGpqSk0KOKaUbBYLAQGBsLOzk6mZqhPI7PGpbq6GlOnToW7uztcXFwkIrO0tFRoaMLDw9Hc3AxtbW3Y29sL/xNHuHNDQwO8vb2hqqoKJycnDBw4UOQynsfDhw/h6ekJDw8PZGRkYOjQoVi7di2cnZ2xaNEisVQPDg0NxebNm1FaWoq9e/fiq6++ktiUvr6+HmlpacjJyQEATJ48GRYWFtDS0hK5rI6ODvz5559wd3dHdnY2zMzMsGPHDjg7O0vEgANAQkICNm7ciKysLGzZsgUHDx4Uy7pER0cH6urqUFtbi9bWVigqKkJLSws6OjrQ0NCQ2Mi6uLgYycnJmDx5MszNzUXeviBMWGBMmpqaAABDhgyBlpYWtLW1oa6uLrHr9fPzw6hRo2BpaSkReX1FZo3L+fPn8c033yA7OxsaGhoSl9/V1YXExEThWk1qaioAYPr06UIX2ty5c/vdATc1NcHb2xsDBgyAk5OT1Hynubm5QkOTn58PLS0tODk5wcXFBfPnz++3a6W6uhr//ve/8eeff2LBggU4deqU1KJbOjo6kJGRgQcPHoDNZsPAwAAWFhYYO3Zsv9uuqanBmTNncObMGdTV1WHZsmXYsWMHFixYIJX1AC6XC3d3d+zfvx9Dhw7FkSNH8Oabb/Zbl87OTuEMpbm5GQoKCtDU1ISuri40NTWl5qopLCxEamoqTExMYGZm1u/2Ojo6us1OBImNgkV4bW1tiQ0W/kpKSgpKSkrg5OQkM2tNTyOzxsXR0RFKSkq4fv26tFUB8KTTCA0NRXBwMEJCQsBkMjFkyBDY2dkJXWh97ZxaWlrg5eUFRUVFrFu3TmprH09DRMjIyICHhwc8PT1RUlKCESNGYP369XB2dsacOXP61HHweDycPn0aX331FVRUVPDLL7/g3XfflYmXgcfjCTujmpoaaGpqYvr06TAxMYGSUt/yizMyMuDm5gZPT08oKyvj/fffx9atWzFhwgQxad83ysrK8K9//Qu+vr6wt7fHiRMn+qxbV1cX6urqwGQy0djYCAaDAU1NTejo6EBLS0tqazt/JT8/Hw8ePMCUKVNgamrap3P5fD4aGhqEBqW1tRXAk027BAvxfV0vEhdMJhPBwcGwt7cXm4u1P8ikcWGxWDA1NcXhw4eFWaiyBJ/PR1pamjAwICEhATweD5MmTRKGOy9YsKDHWUhrayu8vb0BAOvWretV5IikISLcv39faGgqKyuhr68PZ2dnuLi4wMLCoseXLDU1FZ999hmSk5Px6aef4tChQzIbDl1RUYHU1FQUFxdDRUUFU6dOhbm5eY+/C5/Px507d+Du7o6oqCjo6+tjy5Yt+PDDD6Uy2+4Nt27dwtatW1FdXY2vv/4ae/fu7XHkzeVywWKxwGQyhUUT1dXVoaOjA21t7T4bYUmRk5ODzMxMmJubY/LkyT0eKwgTZrFYqK+vB4/He2mYsCxARPD19YWBgYFUAxlehEwal6tXr2L37t3IysqCtra2tNV5KU1NTQgPDxe60MrKyqCiooIFCxYIZzXGxsbCjritrQ3e3t7gcrlYv379K0e/SRI+n4+4uDh4eHjAy8sLTCYT48ePh4uLC1xcXLpFPDU3N2Pfvn04fvw4TE1Ncfr0acydO1eK2veepqYmPHjwAFlZWeByuZg4cSIsLCwwfPhw4TGtra24fPkyjh07huLiYsyaNQs7duzAmjVrZLazfZq2tjYcPHgQv/zyC8aNG4dTp07B1tZW+D2PxxMalPr6ehARhg0bJoz0ksWO9nlkZWUhOzsb06dPx8SJE4WfC6oLCyK72tvbwWAwoKGhITQor8M7CTxJOi4rK4Ojo6O0VXkGmTQuLi4u6OjowI0bN6StSp8hIuTl5XULd+ZwONDX14eDgwMWLlyI5uZmKCkpYd26dTKd+PUiuFwuoqKi4OHhAR8fHzQ2NsLExATOzs4YOnQoDh8+jObmZnz33XfYvn37a9MZPU1nZyeysrLw4MEDNDU1YdSoURg5ciRu3bqF8+fPo7W1FY6Ojti+fTtmzZolbXVfiezsbGzatAkxMTHYsGEDvv76azAYDLBYLGF9L8EMRVrrCv0lIyMDubm5mDRpEoYNGwYWi4WGhgYQEQYNGiR0dfUnTFiaCNz1S5cuFUtgSr8QWX1lEdHY2Eh6enrCndZed9hsNgUGBtK//vUvmjRpkrBU9pw5c+j777+n+/fvE4/Hk7aarwyHw6Fbt27R6tWrSVFRkQDQsGHD6Msvv6SSkhJpq9dv+Hw+Xb9+naysrEhJSYnU1NToww8/pKKiImmr1m/4fD7V1dXRjz/+SMOGDSM1NTX68ssv6dGjR9Te3i5t9fpFZ2cnVVVVUWZmJp07d46+/PJLunz5MqWmplJpaSmx2WxpqygSBM9namqqtFV5BpmbuXh5eWHLli1IT0+X2fjtV4HD4cDX1xclJSUYOHAgYmNjER4ejpaWFujo6HQLd37aBSPrcDgc/Pzzz/jhhx+go6ODt99+G8XFxbh16xba29sxe/ZsuLi4YP369dDT05O2ur2Gy+XCz88Pbm5uSEpKwoQJE/D+++/DyMgIZWVlUFJSEpaYeZ1mn/S/el5MJhN1dXXgcrlQVVWFkpISjh49ikuXLsHS0hKnT5+WWL6IKKD/hQkLFuIFYcJqamrQ1tZGeXk5ampqMGfOHJFEBcoSiYmJqKmpwerVq6WtSjdkzri89957YDKZCAwMlLYqIqOzsxN+fn5obGyEk5OTcB2pq6sLCQkJwrWatLQ0AICFhQUcHBywZMkSzJ49W2bdShEREdi8eTOKi4uxa9cu7Nu3Txjx1traioCAAHh4eCAwMBBcLhfz58+Hi4sLnJycoKOjI2Xtn09DQwN+//13nDx5EuXl5bCxscH27duxdOlSYZRca2sr0tPTkZGRAQ6HIywxI8tbKzc1NQlDh7u6ujBo0CDhGsrTUYpxcXHYuHEjcnJysH37dvznP/+R2fUHDocjXIhnsVjo6uqCkpKSMERYS0tLmDNGREhOTkZJSQlmz56NMWPGSFl70VFZWYmIiAhh0rmsIFPGpbW1FZMnT8ZXX32FzZs3S1sdkdDV1YUbN26AxWLB0dGxx5DBmpoahISECMOd6+rqMHToUNjZ2QlzawwMDCSo/Yv13L17N65evQpra2ucOnWqxxImjY2NuHHjBjw8PBAWFgYAsLOzg4uLC9auXSsTxSULCwtx7NgxXL58GVwuFy4uLti+fTumTp36wnO4XC5ycnKQlpaG+vp6DB8+XLh4LAv++5aWFqFB4XA4UFFRERqUngxGV1cXjh49igMHDkBDQwNubm5wdHSUevgtn89HY2OjcCH+r2HCWlpaGDZs2Av1JCIkJSWhtLQUc+fOlal6c/2Bz+fDy8tLbMmjr4pMGZcbN27g008/RXJy8t9iZMHlcnHz5k3U1tZi7dq1fcru5/P5SE1NFQYGJCYmgsfjYfLkyd3CnSVRwuRpnc6dO4cvvvgCioqK+Pnnn/H+++/3Ke+FyWTC19cXHh4eiI6OhpKSEhwcHODi4oJVq1ZJNCSbiBAVFQV3d3fcuXMH2tra2LhxIz799NM+uSaJSFhiprS0FGpqajA3N4eZmZlEfx/gSeFOQT0vQYFIbW1t6Orq9rlYaWlpKbZv3w5/f38sXboUx48fx7hx48Sk+fN5UZjw07OTvszsiQiJiYkoLy+HlZXVa+Wq7Yn4+HiwWCysXLlS2qoIkSnj8n//938oKSlBeHi4tFXpNzweD/7+/qiqqsKaNWv6/RA3NjZ2C3cuLy/HwIEDsWDBAixZsgQODg6YNGmS2EaXDx48wMaNG3Hv3j189NFH+O9//9vvMPHKykphQc2EhAQMGjQIy5cvh4uLC5YtWya2jrmjowOenp5wd3dHZmYmpkyZIizN0t/SOywWC2lpacjNzQUAGBsbw8LCQqz5PW1tbcIZSltbG5SUlIQzlJ5G8r3l5s2b2LZtG5hMJvbt24fdu3eLbUtdHo+H+vp6oUFpa2sThgkLDEp/3XR8Ph8JCQmorKyEtbX132JtV7Bp3MqVK2VmDVBmjEtHRwcmT56MHTt2YOfOndJWp1/weDzcvn0bZWVlWL16tcin30SEnJwcYR20u3fvgsPhYMyYMcK1GltbW5E8ZC0tLfj222/h5uYGY2NjnD59GtbW1iK4iu6Ulpbi+vXr8PDwQGpqKtTU1LB69Wq4uLjA3t5eJJ1ZTU0Nzp49izNnzqC2thbLli3D9u3bYWNjI3Kj3N7ejoyMDKSnp4PNZmPs2LGwsLAQmVuzo6MDTCYTtbW1YLPZUFRUFBaI1NDQEPn1tLa24j//+Q9cXV0xceJEnDp1CgsWLBBJ2y0tLcKF+OeFCWtoaIg8f0iQt1VTU4N58+a9VkE0z4PH48HLywumpqYiKXsjCmTGuAQGBuL9999HXFwcjIyMpK3OKyPI2n706BFWrVolEfdeW1sboqOjhbOagoICKCoqYu7cucK1munTp/fJfUX/y/7dsWMH6uvrceDAAezcuVMiwQWFhYXCOmfZ2dlQV1eHo6MjXFxcYGNj0+eOJjMzE+7u7vjzzz+hpKSE9957D9u2bZPIc8bj8VBQUIDU1FTU1tZCS0sL06dPh7GxcZ+vQ7CAXVtbi5aWFigoKEBLSwu6uroSKxCZmZmJjRs3Ij4+Hu+99x5+/vnnPpceEVQTFhgUDocjrE0mMCiSqLHH5/MRGxuL2tpaLFiwQGaDTHpLTEwMmpubsXz5cmmrAkCGjMvmzZuRmZmJmJgYaavyyvD5fAQFBaG4uBgrV66UWshjSUlJt+rOra2t0NHRERoae3v7Hl+kkpISbN26FXfu3MGKFStw7NgxqV1LVlaW0NAUFRVBR0cH69atg4uLC6ytrV/YofL5fAQGBsLd3R2RkZEYNWoUtmzZgo8++khqJWgqKiqQkpKC4uJiDBw4EObm5jA3N++xplxXV5fQ5dXU1AQFBQVoaGgIC0RKI3CAz+fjwoUL2Lt3L4gI//3vf/Hxxx+/8LcgIjQ3NwsX4pubm0FEwjBhLS0tiVZPfhoej4eYmBiwWCwsXLhQ9hIR+0BpaSliYmKwZs0amSgnJRPGpbOzEyYmJvjkk0/w+eefS1udV4KIEBISgoKCAixbtgzjx4+XtkoAntzb+Ph4hISEICgoCA8ePACDwXgm3FlJSQmdnZ349ddfcfDgQWhra8Pd3R2rV6+WepQQ8OT+pqWlCeucPX78GHp6enjzzTfh4uICS0tLMBgMsNlsXLlyBceOHUNhYSHeeOMN7NixA2vXrpWZkO7GxkZhiRlBTToLCwvhDIDL5QoLRDY0NAjXHAQFImWlxAyTycTevXtx8eJFzJkzB6dPnxZG13E4nG7VhHsKE5Y2XC4Xd+/eRWNjIxYuXCiz9e9eBpfLhZeXF8zNzWFiYiJtdWTDuISHh+Ott95CZGRkn6uYygJEhPDwcOTk5GDp0qUy7darrq7uFu7MYrEwdOhQmJubo6CgALW1tfj3v/+Nb7/9ViZGP8+Dz+cjMTERnp6euH79Oqqrq6Gvr49Ro0YhPz8fbDYbjo6O2LFjB2bPni1tdV8Ih8MRlphpbGzE0KFDMXr0aOFM5ukCkbJiGJ9HdHQ0Nm3ahIKCArz//vvYsGEDeDwegCdhwgKDIorgAnEhKGnU0tICGxsbmQiPfxWio6PR3t4OBwcHaasiG8Zl586diI+PR2Jiosw+fD0RERGBzMxMLFmy5KUVWGUJHo+H8PBwfP7553jw4AEAgMFgwNjYWDirmT9/vsyMMJ9HQkIC9u3bh6ioKPD5fBARxo0bh3feeQfOzs4yMYJ7EXw+HywWCzU1NcjMzER+fj5aW1uhp6cHa2trTJs2TWxRWaKgra1NODupqamBl5cXrl27BnV1dRw6dAhvv/22TOv/V7q6uhAVFYXW1laRBcRImpKSEsTFxcHR0VFqe0MJkLpx4XK5MDU1xTvvvIN9+/ZJU5VXIjo6Gg8ePMDixYtluiP7K3w+H+fPn8fevXsBAP/973/h6OiIiIgIoQutoqICgwYN6hbuPHHiRKkPAAT5Q25ubkhMTMS4ceOwbds2vPXWW0hKSoKnpyd8fX3R3NwMMzMzuLi4wNnZWSZclYL9QphMJlgsFng8HoYMGSIMHW5oaEBqaioKCwuhpKQEMzMzTJs2rc85KuJAECYsMCiCMGF1dXXhQjyTycS2bdtw584drFy5EseOHZOJxN/e0tnZicjISHR0dMDGxkYm7ntf6OzshLe3NywsLKQ+0JW6cYmJiYGTkxOCg4Nfq1pGABAbG4uUlBTY2trKTPhfb3g64uf999/H4cOHn4n4ISJkZ2d3C3fu7OyEgYFBt3BnSb58jY2NOH/+PE6cOIGysjIsWLAAO3bswNKlS59Z2OZwOAgODoaHhwf8/f3BZrMxc+ZMuLi44M0334S+vr7E9CaibgaFy+Vi8ODBQoPyvHye1tZWPHjwAJmZmeBwOJgwYQIsLCwknvTX2toqXIhvbGwEn88XhglraWlBU1PzmTUgIoKfnx+2b9+OhoYG7N+/H//+979l2rX3NBwOB5GRkejs7IStra3MuodfREREBLhcLuzt7aWqh9SNy+eff47Q0FCkpKRIfUTcFxISEpCUlISFCxfKVMmFnmhtbcV3332HI0eOwMjICKdOncLChQt7dS6bze4W7iwYWQvCnR0cHGBubi6WiJ/i4mIcO3YMly5dQmdnJ1xcXLBt2zZMmzatV+e3tbXh9u3b8PDwwO3bt8HhcGBlZQUXFxesW7euT5UTeougkKKgQKSgnpeuri50dHR67bLo6upCbm4uUlNT0dDQgOHDh8PCwgITJ04Uy70WZZhwS0sLDhw4ADc3N0yePBmnTp3CvHnzRK6zOOjo6EBkZCS4XC5sbW1lYpfY3lJUVITExESsW7dOqi5tqRoXPp8Pc3NzrFmzBgcPHpSWGn0mKSkJCQkJmDdvHiwsLKStTq8QdZZ1cXGxMCggPDwcbDYburq6wnDnxYsX9ytvgIgQHR0Nd3d33L59G1paWvjss8/w2Wef9csYNDc3w9/fHx4eHggODgafz8fChQvh4uICR0fHfoeiNjc3C0OHOzs7MXDgQOEMpT8jYCLCo0ePkJqaisePH0NNTQ3Tpk2DmZlZvzqQp8OEWSwWmpqahGHCgoX4/oYJi6O6gyRob29HREQEiAi2trZSX8PoLRwOB97e3rC0tJRqcJFUjUtSUhJWrFiBgICA12bDpZSUFMTGxmLOnDmwtLSUtjovRRL1oTo7OxEXFydcq0lPTweDwcCMGTOELrRZs2b1KoSWw+Hg+vXrcHd3R3p6OkxMTLBjxw64uLiIvBxMfX09/Pz84OHhgYiICCgoKGDx4sVwcXHB6tWre72g29raKqznxeFwMGDAAOjo6EBXV1csFYXr6uqEJWYYDAZMTEwwffr0XofQSiNM+K916Q4fPowPPvhAKrktfaGtrQ0RERFgMBiwtbWVeK24VyUsLAwMBgN2dnZS00GqxmX//v3w9fVFRkaGzD9kAJCWloa7d+9i1qxZMh3iCjxxbxw5cgTfffcd1NXV4e7uLrHKtpWVlQgJCRH+V19fj2HDhmHRokXCmc1f1zyYTCbOnDmDM2fOoKamBkuXLsW2bdtgZ2cnEZ1ramrg4+MDDw8PxMTEQEVFBUuXLoWLiwtWrFjxjFukra1NaFDa29uhrKzcrZ6XJGhraxOWmGlra3thiRlBNWGBQWlpaQEADB06VOjqklSYcE1NDfbs2YMrV670qqK2LMBmsxEREQElJSXY2NjIdPSkgIKCAty/fx/r16+XWsSe1IwLEWHGjBlYtGgRDh8+LA0V+kRGRgYiIyMxc+ZMWFlZSVudHomNjcWmTZtkYk8OHo+H5ORkBAUFISQkBPfu3QOfz4eJiYmw2GZiYiKuX78OBQUFvPvuu9i2bRsmTZokFX0BoLy8HF5eXvDw8EBSUhJUVVWxcuVKrF27FtOnT0dzc7OwQKSgnpe6urrU1gx5PB7y8/ORmpoKJpMJLS0tmJiYQEtLC42NjcJqwoIKyVpaWtDS0pJqmHBPewHJIq2trYiIiMCAAQNgY2Mj89s+t7e3w8fHB3PmzJFelKQIdrN8JdLS0khHR4fu3r0rLRV6TVZWFh09epSio6OlrUqP1NXV0ccff0wAyNLSUia3PmWxWPTnn3+Svb09qaioEABiMBg0efJk+vHHHyk/P5/4fL601RSSk5NDn3/+OU2cOJEA0ODBg2n16tXk6elJHA5H2uoJ4XK5xGQyKTIykg4dOkSfffYZbd++nX777TfKysqipqYmmbqvREQdHR108OBBUlFRIQMDAwoICJC2Sj3S1NREN27coKCgIJn67V9EUFAQRURESE2+1GYuBw8exNWrV5GdnS0z5SyeR15eHoKDgzF16lTY2NhIW53nQkS4ePEi9uzZAy6Xi59++gmffPKJTGxY9TRsNhtXr17FsWPHUFBQAAsLCzg6OoLP5yM8PBwxMTHo7OyEoaGh0H1ma2sr8VlXZ2encFG+ublZGC3V1NSE4OBgeHp6Ii8vD5qamnBycoKLiwsWLFgg8fstCBNmsVhoaGgQhgkL9jgpLS1FXl4e+Hy+sMSMLBZnLCoqwtatWxEcHIw1a9bAzc1NZvdzampqQkREBNTU1LBw4UKZDq/Ozc1FWloa1q9fLxU9pWJciAizZ8/GnDlzcPToUUmL7zUFBQUICgqCqakpbG1tZTJUOjs7G5s2bUJMTAzefvtt/PrrrzJXPryyshInT57EuXPn0NTUhNWrV2PHjh2YM2dOt3va2tqKqKgoYW5NUVERlJSUYGVl1S3cWRy/Q1dXl7CeV2NjIxgMBjQ1NYX1vJ42HESEjIwMYUHNkpISDB8+HOvXr4eLiwvmzJkjljVELpcrXDd5XpiwlpbWM64lQYmZtLQ0tLS0YPTo0bCwsMC4ceNk6nkmInh7e2PHjh1obm7Gd999h+3bt8tk593Y2IjIyEgMGTIECxculNnBMZvNhp+fH6ytraVSeFYqxiUnJwcLFy7EH3/8gUWLFklafK8oKirCnTt3MGnSJNjb28vUiwg8Wcw9ePAgfvnlF4wbNw4nT56UamTI80hOToabmxt8fHygqqqKjz76CJs3b+71g15UVCQMd46IiACbzcaIESNgb28vDHfuT0iroLOura1FY2MjgO71vHrTaRAR7t+/D09PT3h6eqKiogL6+vrCgpozZsx45WeH/hcmLDAogjDhwYMHd9vrpDeGjM/no6ioCKmpqaiqqoK6ujqmT58OU1NTmerAm5ubsW/fPhw/fhxTpkzB6dOnMWfOHGmr9Qz19fWIioqCuro65s+fL7MGJjAwEIMHD8b8+fMlLlsqxuXw4cM4c+YMcnNzZbL2UElJCW7duoUJEybAwcFB5gzLrVu3sG3bNlRVVeHrr7/G3r17ZWaBkcvlwt/fH25ubkhISMDYsWOxbds2vP/++/3K5udwOIiLixPOajIyMsBgMPDGG28IXWiWlpYvfcl5PB5YLBaYTCbq6+tBRBg2bBh0dXX7XSBSsAGVp6cnvLy8UFtbi/Hjx8PZ2RkuLi6YMmXKS5+lnsKEBaHC/Y1Wqq6uRmpqKgoKCjBgwABMmTJFZkrMCEhJScHGjRuRnJyMTz75BD/99JPMVStmsViIioqClpYW5s2bJ3NuaOCJZyMjIwPr16+XuAGUinGZN28ezMzMcPLkSUmLfimlpaUICAiAoaEhli5dKlMh0mVlZdixYwf8/Pxgb2+PEydOYMKECdJWC8ATX/SFCxdw/PhxPH78GPPmzcOOHTuwfPlysbx0FRUVwurOoaGhaGhogLq6erdwZ8EOoHw+H/X19cLyK3w+H0OHDhWGDotjgCOosuvp6QkfHx80NDTAxMREaGgmTpwo1K2pqUno6vprmLCWlpbYItFaWlqEJWY6OzthZGSE6dOny8y+8jweD2fOnMGXX36JAQMG4Ndff8W7774rU4M9JpOJ6Oho6Orq9ri/kLRoaWnBzZs3MX/+fImvY0ncuBQVFWHu3Lm4ePEili1bJknRL6WsrAw3b96EgYEBli1bJjMjES6XC3d3d+zfvx9DhgzB0aNH8eabb8rES/bw4UMcP34cFy9eBIfDwZtvvont27dLtE4cj8fD/fv3hbOae/fugYhgbGyM2bNnw8zMDFOmTBGuoejo6Eg0V6GzsxOhoaHw9PTEjRs30NLSgilTpsDW1hazZs2CtrY2BgwY0C2JUZIz+q6uLuTk5CA1NRWNjY0YMWIELCwsYGRkJBOdZVVVFXbt2oU///wTCxYswKlTp2BsbCxttYTU1NQgJiYGw4cPh5WVlUzcs6e5desW1NXVxbI9eY9INDaNiI4cOUJjxoyhtrY2SYvukfLycjp+/Dj5+fkRl8uVtjpC4uPjydzcnBgMBm3bto0aGxulrRLx+XyKjo4mJycnGjBgAI0YMYL2799PlZWVUtervr6eEhMT6bvvvqNly5aRjo4OMRgMGjx4MK1YsYLc3d2poKBAomG5gjDh3NxcCgsLo3379tGCBQuEodhvvPEGubq6Unl5ucR0eh58Pp+Ki4vJy8uLXF1d6ezZs5SUlETt7e1S1UtASEgITZgwgZSVlemrr74iNpstbZWEVFVV0fXr1yk2NpZ4PJ601elGeno6eXh4SLxfk/jMZdGiRRg7dix+++03SYrtkaqqKvj5+WHEiBFYtWqVTCzO1dfX48svv8TZs2cxY8YMnD59GjNnzpSqTp2dnfDy8oKbmxsePHgAY2NjbN++HRs2bJBqWQxBgUgmkyksECmYoaiqqiIzM1OYxBkTE4Ouri6MGzcODg4OsLe3h42NjcjDnVtbW4VrJ4Iw4YEDBwoX4jU1NdHR0YGAgAB4enoiMDAQXV1dmD9/PpydnbFu3Tqphg3X1dUhNTUVeXl5YDAYMDU1xfTp06GhoSE1nYAnBSV/+uknHDp0CKNGjcLx48dlxgNSWVmJ2NhY6OvrY/bs2TLhWQCeRLfdunULNjY2GDVqlMTkStS4PH78GDNnzsTZs2exZs0aSYntkZqaGvj6+kJHRwerV6+WeuQMEeHq1avYtWsXOBwOfvzxR2zcuFGqLrq6ujqcPXsWp0+fRnV1Nezt7bF9+3YsXrxYai9QS0sLamtrhSG5KioqwnpePRWIbG1tRWRkpLC688OHD6GsrAxra2vY29vDwcEBU6dO7fN1PR0mzGKx0NHRIdzvXmBQespAb2xsxI0bN+Dp6YnQ0FAAgK2tLVxcXLB27VqpdeptbW1IT09Heno62tvbYWhoCAsLC6nnoRQUFGDLli0ICwvDunXrcPToUYl2nC+ivLwc8fHxMDAwEG69LQv4+/tDR0dHopF3EjUuJ0+exI8//oi8vDyZ2COByWTCx8cHmpqaWLNmjdQj1/Ly8rBp0yZERUXBxcUFrq6uGDlypNT0ycnJwbFjx3Dt2jUAwDvvvINt27ZJzd/NZrOF9bw6OjqEBSJ1dHReOdKpqKhIOKuJiIhAW1sbRo4ciSVLlsDe3h6LFy9+bqVkIkJLS4twIf6vYcJaWlrQ0NB4pUFBXV0dfHx84OnpiaioKCgpKcHBwQHOzs5YtWqVVEr5cLlcYYmZuro6aGtrw8LCApMmTZLaTJ+I4OHhgZ07d4LNZuPgwYPYunWr1D0Pjx8/RmJiIgwNDTFz5kyZMDAPHjxAQUEB1q1bJ7E1IYkal2XLlkFbWxuXL1+WlMgXwmKx4OPjg6FDh2Lt2rVSDeVtb2/HDz/8gMOHD2PMmDE4efKk1Db6ISKEhITA3d0doaGhGDlyJDZt2oT/+7//k0qZ9La2NjCZTNTW1qK9vR1KSkrdCkSK8sXlcDiIjY0VBgZkZmaCwWDA0tISDg4OsLGxgaGhIRobG4V7tCgpKXVLYhS1e7CqqgpeXl7w9PREfHw8Bg4ciBUrVsDZ2RnLly+XijuyrKwMqampePjwIVRVVTF16lSYm5tLrSR9Y2Mjvv76a5w6dQrm5uY4ffq01KusP3r0CPfu3cOECRMwY8YMqeoCPHGz37lzB3Z2dpIbsEpqcaeyspJ0dHTI09NTUiJfSH19PZ09e5auXbsm9cXKwMBAGjduHA0YMIC+/fZbqenDZrPp7NmzZGZmRsrKymRpaUnXrl2TSg2l9vZ2evz4MSUnJ1N0dDTFxsZSXl4esVgsiS7EP378mNzd3Wnp0qU0ZMgQYjAYNGTIEFq0aBH9+OOPlJWVJVF9SktL6eeff6YZM2YQAFJTU6O3336b/P39qaOjQ2J6CKivr6fw8HByd3cnNzc3Cg4OptraWonrISApKYmmT59ODAaDNm3aRA0NDVLThYiouLiYPDw8ZKbGn5+fHyUmJkpMnsRmLr///jv27duHnJwcqKurS0Lkc2lsbIS3tzcGDhwIJycnqS1EV1RU4F//+he8vb1hZ2eHkydPCnMfJEllZSVOnTqFc+fOoaGhAatWrcKOHTtgZWUl0ek8h8MRLsq3tLRAQUEBWlpa0NXV7fdmVX2hvb1duHZSX18PLpcLZWVlqKuro6ysDPfv30dYWBiSkpJARDAzMxMGBlhbW0tsBlxYWCisCpCVlQV1dXU4OjrC2dkZtra2EnUNdXR0CEvMtLa2Ql9fHxYWFjA0NJS4S4jL5eLkyZP45ptvMGjQILi6umLDhg1Sc00VFRUhJSUFxsbGmDp1qlR0EJCSkoKSkhI4OTlJ5H5IzLisXbsWAwYMgKenpyTEPZfm5mZ4e3tDSUkJ69atk8o0nsvl4sSJE/jmm2+gqqqKI0eO4K233pL4w5+amgo3Nzd4eXlh4MCB+PDDD7F161YYGhpKTIfOzk5hPa+mpiZhnSwdHR1oampKJIhBkGApWIhns9lgMBgYNmyYcCF+yJAhz/w+LBYLoaGhQhdadXU1VFVVYWtrK0zilFSCa1ZWlrDOWVFREXR0dLBu3To4Oztj3rx5EjPMfD4fhYWFSE1NRXV1NdTV1WFhYQETExOJB8pUVFRg586d8PLygq2tLU6ePCm1bRwKCgqQlpYGU1NTqe5dw2QyERwcDHt7e+jq6opdnkSMC4vFgqmpKX7++We8++674hb3XFpaWuDt7Q0FBQWsW7dOKntHJCUlYePGjXjw4AE2bdqEH374QaKzOB6Ph4CAALi5uSEuLg4GBgbYunUrPvjgA4ltcMXlclFXVyes58VgMKChoSGs5yUJg8Jms4UL8U+HCT+dxNiXkT/9r5BlUFAQgoODERcXh66uLowfP75buLO4g1iICGlpafDw8ICnpyceP34MPT09vPnmm3B2dsasWbMkNoipqqpCamoqCgsLMWDAAJiZmWHatGkSD0YICgrCli1bUF5eji+++AJffvmlVDb7ysvLQ3p6OszMzGBiYiJx+cCT58PX1xcGBgaSSWuQhO/t8uXLNHz4cKqrq5OEuGdobW2lixcv0vnz56m5uVkq8jdv3kwMBoOmTZtG9+7dk7gO586dIyMjI1JWVqaFCxdKPFm0qamJMjMz6e7duxQdHU3p6elUVVVFnZ2dEpHP4XAoOzuboqOjKTg4mEJDQyk5OZkePXpELS0tIpXV3NxMN2/epM2bN9O4ceOIwWDQgAEDyM7Ojq5duyZSWS+Cz+dTfHw8bd++nUaOHEkAaOzYsfT5559L/HePjo6mEydO0JEjR+j27dvU1NQkMflERG1tbfTNN9+QsrIyjR8/nsLDwyUqX0BWVhZ5eHhQXl6eVOQTPVmX8vHxkchaodhmLo8fP8bDhw8xbtw4tLe3o6ur65lwUXHGypeVlQEAhg0bhpaWFuTn52PKlCndRi3iLNSXnZ2Nhw8fwsDAAEOGDAERgcFgdBs5irsM9qNHjwA8mbUJ7r+ioqLEdOjo6BD+3dzcjNraWqirq2PYsGFCN4k4R5Ht7e0AnszYiAgFBQUYMmQIhg4diiFDhkBBQUHsa26PHj2C4BV73jMAiPc3EDwDT+vwtJuMiMTqCm1qagLw5DeoqalBZWUlzM3NoaysDCaTKZFtoR89eiR0eY4ePVrivwGbzRb+/fjxY3A4HBgZGQk/IyKxzmpbW1uFfzc1NaG0tBTGxsbdXJXikC824xIeHo6mpiYYGhrC3Nz8uceI0xdcWFiIzs5OKCoqYtKkScIX+2nE6SJwc3PD5MmTUVBQACUlJcyaNQvTpk3rdoy4feFsNhuDBg3C22+/jeHDh+O77757xi0hTh1e9mg1NjaKNTlQIP/+/fsYMGDAc59DcbuJ+Hx+j9+fOHEC27Ztk5r8r776Cj/99JPY5Pf0DJw9exaffvqp2H+Dq1evoqysDGpqajA0NMTixYufWQOS5Hvw174oJSVFrG6ql72HOTk5MDU1FYtgsfDrr78SEdHevXspNjZW4lNhAY8fP6aMjAzKzMwkJpMpMbmCaSefz6fm5mby8PAgHx8ficknItq/fz/98ssvxGazicvl0pEjRyg3N1eiOvRETEyMWNuvqamhjo4Oam9vp46ODiorK5OKW7QnDA0NpSp///79UpMtKTd5UVER8fl84vP5lJqaSjt37qSuri6JyH4Z9fX1xGKxpKpDYGCgWNoVm3F5unPNyMig/fv3U15enlT2oW9tbSU2m00XL16UuOynuXz5skQLT3K53G7GhM/n09KlSyUm/0UICkyKe8BRU1ND6enpwn93dnbKTM4B0ZP7IM2O5ffff5dono5gcCdJmc+jo6OD9uzZIxMFasXVsfcWHo8ntvsgsSRKHo9HYWFhdOzYMUmJfAZZqKI6e/Zsqcrv6OiQemXljIwMkS+iv4i/VqgV58vUVw4dOiRV+c7OzhKV5+fnR+3t7RQQECD8TFrPIpvNpnXr1klFtgA+ny+VJOWnEWdwg8Q2HlBQUICdnR22bNnyUh+guFBVVUVxcTEyMjKkpoOHhwd4PJ5UZAOAiooKHBwcpHb9AKCtrS2x2nJ/9aUrKCggOTlZIrJ7IjU1Var7foSFheGPP/4Qu5zKykoAT/z+K1euhJ+fH0pKSoTPn4eHh9h1eB6qqqr4+uuvpfou5uTkSLWeYVlZmVj3XZL4081gMPDjjz9KWqyQ/Px8aGho4N69e1KRb2BgIPWK0FevXsUvv/widjlEhPLy8m6fcTgcjBgxQuyye2LMmDFoa2uTmnwiQnh4OPbs2SMV+TweD1evXpWIcQsPDwcA5ObmQlFREcuXL8e6detw//59AP8/ok8aTJs2DatWrZKa/KqqKqnJBoCGhgaxBtRIZejk7u4uDbEAgKVLl0JfX19qxgV4ss2zNBk/fjw++ugjxMXFiVVOQUEBlJWVhaNUHo+HrKwsqVeJHTlyJJhM5ksjqcTFv/71L+zevVtq92HTpk24cOGCRGS9+eab6OrqEm4jMHToUIwcORLx8fEAxJuO0BucnZ2lMotnsViwsbGRuFwBFRUVMDMzE6sMqRgXac5cBC+0gYGB1HTYs2eP1CtDa2lpYcWKFWKVMWrUKAwfPhwVFRXgcrmorq4W+wPdW8aMGSMcPYuTtrY2YY0yAAgODsaCBQskZliezjXq7OzE+fPnceDAAYnJV1FRgaen5zMduIWFBQBg9erVEtHjRbz33nvYv3+/WGV0dXWBnqxvo6OjAywWCxUVFRLbo6mrqwssFguNjY0Ansycc3Nzxf4MiK263dO+TMEIUTAN/+CDDxAcHIwlS5aIS/wzo1I2m92t5Iu4O9a/+nIFL5fgB01KSsJ7770nMR3+Kh8AfH19xSp/8ODBICI0NTWhubkZhoaG3WYyf9VH1Py1Q2tvb++WNCmJzaUuXboERUVFlJaWYvz48Rg5ciRWr17d7bcRZydz+vRpDB48GAMHDkRDQwPMzMwwfPhwicnn8/nQ09PDuHHjwOfz0dbWBlVVVVhbW4PP50vEyP31PfirTHHPYEtKSqCgoCCUraysjClTpnSTK04XZUlJCVRUVNDW1gY2m42ysjLY2NiIXb5YM/QFtLa2gsPhCB9y4InLZNGiReIQDeBJRrgAFouFrKwsGBsbdyvYJs4MfUFmtADBiySNDH3gSU0vInomeUwSGfpEhLKyMjQ1NcHY2Lhb3S5JZehXVlaCyWTC0NCwm59ZEhn6wJNZQ1lZmbBSsKSeg5KSEtTU1IDD4UBfXx8AJCpfkKEv+PvBgweYOXNmt4GeJDL0BTzvPQTEn6Hf3t4OLpeLkpISAHimQrI4ax0KMvQ7OjqQlpYGHo8HS0vLbsEEYgmwEVsc2lPU19fTv//9b9LR0aElS5ZQRkaGJMQK4fP5FBISQm5ublRYWChR2QKWL19O1tbWUpHd3NxMampq5OrqKhX5RUVFFB0dTVVVVRKXXV1dTVFRURQWFkaPHj2Sao5FVlYWzZ8/nxgMBr377rtUXV0tUfksFovMzc1p+PDhUqlvxeVy6cSJExQXFydx2UREoaGhBICSk5MlLrurq4vCwsLIx8eH6uvrJSqby+VSRkYG/fHHH+Tr60vl5eUSkSuRNRcNDQ38+uuvuHXrFtrb27F48WLs27evW80bccJgMLBo0SJMnDgRgYGBePjwoUTkPo2TkxPi4uJQXV0tcdlBQUHgcDhYu3atxGWXlJSgoqICRkZGEo0Sa2trQ2pqKtLT0zFs2DBYWVnBwMBAqsEEpqamiIqKwvnz5xEYGAhjY2OcPn1aYoEFmpqaCAsLg7a2NmxtbVFUVCQRuQIUFRUxfvx4FBYWSlSuAB8fH4wdO1a43iMpeDweYmJi0NjYiIULF4o1QuuvVFdX4/bt28jIyMDkyZOxcuVKibiDAQkv6FtaWiIsLAz79+/H5cuXMXfuXAQEBEgkWoPBYMDe3h7jx4/HnTt3UFpaKnaZT7Nq1SooKCjAz89PonKBJ2sr06dPF7sb7q88evQIZWVlwrUGScDn8/Hw4UPEx8eDzWZj+vTpmDZtmlTKrD8PBoOBDz74AHl5eVi3bh02b94MKysrPHjwQCLytbW1ER4ejiFDhsDW1vYZ9624mTBhAurr61FfXy9RuTweD35+fnB0dJToAIPH4yE2Nhb19fVYsGABNDU1JSK3o6MDcXFxCAsLw8CBA7F8+XJMnz5dopvISTxaTFlZGZs3b0ZcXBymT5+Ojz/+GBs2bJBIZ6+goAAHBwcYGBggICCg27qQuNHS0oKNjQ18fHwkJhN4su4QFBQk8VnL48eP8fjxY4wbN05iI6X6+nokJCSguLgYBgYGmDt3LnR0dCQiu69oaWnh7NmziImJAZvNxsyZM7Fr1y60tLSIXfbw4cMRHh6OAQMGwNbWVlhBXBIYGBhAWVlZ4rOX+Ph41NTUwMnJSWIy+Xw+4uLiwGQyMX/+fGhra4tdJv2v+re/vz8qKysxZ84c2NvbS2X3X6mlCI8ePRqXLl3C5cuXkZ+fD2traxw5cgSdnZ1ilaugoIBly5ZBX18fAQEBqKioEKu8p3FyckJUVBRYLJbEZIaGhoLNZsPR0VFiMsvLy/Ho0SOMHTsWo0ePFru8zs5OZGZmIjk5GcrKypgzZw6MjIwkFurZH6ysrJCSkoJDhw7hzJkzMDExgY+Pj9hn86NGjUJERASICLa2tsJMenGjpKSEcePGSdy4+Pj4QE9PD7Nnz5aIPD6fLzRo8+bNk8ggp6GhAcHBwUhKSsKYMWOwatUqjB8/XuxyX4T06k/8DwcHB8TGxuKTTz7Bzz//DBsbG7En9wkyhfX09HDz5k2JZcquXbsWfD4fN2/elIg84IlLzNTUFBMnTpSIvIqKCjx8+BBjxowRe4Ic/a8CQGxsLOrq6mBqaoo33nhDYqVlRIWysjL27NmD7OxszJw5E+vXr8fKlSuFkUXiYsyYMYiIiEBHRwfs7OxQU1MjVnkCjIyMhFtbSwL63w6Mjo6OEqlKQERITExEVVUVrK2tMXz4cLHK6+rqQkpKCu7cuQMul4slS5Zg9uzZUFFREavclyF14wI8qfOzf/9+REREQENDA2vXrsXWrVtRV1cnNplKSkpYuXIldHV1cePGDYm8WMOHD8e8efMk5hrr7OzE7du3JTZrqaqqQnFxMfT19cW+vtPS0oKkpCTk5ORg+PDhsLa2xqhRo6Se/d8fDAwM4OfnBz8/P2RmZsLU1BSHDh0S62ze0NAQkZGRaGpqwqJFi8T6zgkYO3YslJSUJDZ7uX//PsrKyiTiEiMi3Lt3D+Xl5Zg7d67Y1xofP36MgIAAFBYWYvr06Vi2bJnsuIIlEpPWB3g8Hl27do0mTpxIRkZGdOnSpWcq24qSzs5O8vT0pFOnTlFtba3Y5Ahwc3MjZWVliVSDDQwMJGVlZcrMzBS7rKqqKoqOjqaioiKxyunq6qK8vDwKCQmhuLg4amhoEKs8adHS0kJ79+4lJSUlMjExoaioKLHKy83NJV1dXZo2bZpEQmX9/f3pjz/+ELscoid7Suno6Ii9Gjafz6d79+6Rp6cnPX78WKyyWlpaKCIigq5cuUKRkZHU2toqVnmvgkzMXJ5GQUEBGzZsQEJCApYuXYrdu3djxYoVyM7OFos8ZWVlrF69Gurq6vD19RX7yM3R0RFdXV24deuWWOUAgJ+fHyZMmCCeXeaeora2FgUFBdDT0xOrj7empgZxcXEoKyuDkZER5syZI5WFSkmgpqaG//73v0hNTYWGhgZsbGzw4YcfgslkikXe5MmTER4ejrKyMixZskTsLisjIyNUV1eLPR2BiODj44M1a9aIfQ0uJSUFJSUlmDVrljBhVdTw+XxkZWUhICAADQ0NWLBgARYuXCjWJMxXReaMiwBNTU24ubnh5s2baGlpwaJFi3DgwIFu+1GLChUVFaxduxZDhgyBr6+vWMMkR48ejVmzZondNcblcuHv7y/20Esmk4m8vDyMGDECEyZMEIuM9vZ2pKWlIT09HUOHDoWVlRXGjh37WrvAeouZmRnu3r2Lc+fOISAgAJMnT8Zvv/0mltyYKVOmIDQ0FIWFhVi6dKlYI9cMDQ2hoKAgdtdYRkYGiouLxe4SS01NRXFxMSwtLcVWt7Cmpga3b99Geno6Jk2ahFWrVonNiIkEaU+degOHwyF3d3fS19cnc3Nzun37tlgyrdva2ujq1at07tw5sbpbDh8+TIMGDRLrVDYiIoKUlZXFmo3MZDLp7t27lJeXJ5bfg8fj0cOHDyk0NJSio6OppqZG5DJeJ2pra+nDDz8kBoNBc+fO7bbLpihJSkqioUOH0vz588X6jPr5+ZGnp6fY2ici2rdvH6mrq4t1U660tDTy8PAQm0u4vb2d4uLi6MqVKxQUFPTauIJldubyNAMGDMC2bdsQFxcHU1NTfPDBB3j33XdFHp8/aNAgrF27FioqKvDx8elWn0yUODk5ob29HYGBgWJpH3jiEhszZozYspHr6+uRm5sLbW1tTJw4UeSziIaGBiQkJKCoqAhjxoyBlZVVt7pw/0R0dHRw/vx5REZGorGxETNmzMDevXtF7lp64403EBQUhNTUVKxevVpse64YGRmhoqJCrHvr+Pj4YNWqVWLblCszMxP5+fmwsLAQuUuYiFBUVAR/f3+Ul5dj9uzZUstZeSWkbd36Cp/Pp9u3b5O5uTnp6+uTu7s7dXZ2ilRGa2srXbx4kX7//Xdqbm4WadsCpk2bJrZtZnk8Hunr69Pu3bvF0n59fT3dvXuXsrOzRT5j4XA4lJmZScHBwXTv3j2x3f/XHQ6HQ4cOHSJVVVUaM2YM3bhxQ+QyoqOjSVVVlRwcHKijo0Pk7be3t9ORI0fENgPLyckhAHTz5k2xtJ+VlUUeHh5iqdNWX19PQUFBdOXKFYqPj6f29naRyxA3r51xEdDa2krffvstjRgxgqytrSkhIUGk7be0tND58+fpwoULYtnv/eDBg6SmpiaWhyY2NpaUlZXFUiCwoaGBYmJiKDMzU6SGhc/nU3l5OUVERFBERASVl5dLtcjk68LDhw9p+fLlxGAwaNWqVfTo0SORth8WFkYDBw6kVatWicW15O3tTd7e3iJvl0i871hOTg55eHhQTk6OSNvt6uqilJQUunr1Kvn7+0u8uKkoeS3cYs9j8ODBOHDgAMLCwqCmpoZVq1Zhx44dIluMV1NTg5OTE/h8Pnx9fUU+dXdyckJraytCQkJE2i7wxCU2cuRIkWcjNzU1ISsrC8OGDYOJiYnIXGGtra24f/8+srOzoaOjAysrq9c+Z0VSGBoaIiAgAN7e3khNTYWpqSkOHz6Mrq4ukbRvZ2cHPz8/BAUFYcOGDcJNz0TFhAkTUFZW1m1TM1Hh4+OD5cuXi7yuXH5+PjIyMmBqagpjY2ORtVtWVgZ/f3/k5+dj2rRpWL58udgTMMWKtK2bKODxeHTp0iUyMjKiiRMn0rVr10SWG9PY2Ejnzp2jy5cvU1tbm0jaFGBsbEzvvfeeSNvk8/k0btw42rZtm0jbbWpqotjYWEpPTxfZveVyuZSfn08hISEUGxsr8VLkfzeam5tp165dpKSkRFOmTKGYmBiRte3v709KSkrk4uIi0nyR1tZWcnV1paysLJG1SURUXFxMAOj69esibbegoIA8PDxE6sprbW2lyMhIunLlCkVERIjFUyIN/hbGRQCTyaQtW7aQjo4OrVixgnJzc0XSbn19PZ09e5auXr0q0in2N998I/JIlvv375OysjJFRESIrM2WlhaKi4ujBw8eiKxjqampoejoaAoNDaWHDx+KNVH2n0ZaWhrNnj2bGAwGffzxx8RkMkXSrre3NykqKtL7778v0t/L09OT/Pz8RNYe0ZOIzIEDB4q0oy4uLiYPDw9KS0sTSXs8Ho+ysrLozz//JB8fHyotLRVJu7LC38q4CIiJiaE5c+bQyJEj6bvvviM2m93vNuvq6ujMmTP0xx9/iGxxMy0tjQBQUFCQSNojIvrqq69oxIgR1NXVJZL2WltbKS4ujtLS0kRiWNra2ig1NZWCg4MpJSVF5LNBOU/g8Xh0+vRp0tDQIG1tbTp//rxIDMKff/5JCgoK9Mknn4jMwKSkpJCbm5tIB1mzZs2iNWvWiKy9kpIS8vDwoJSUFJG0V1NTQwEBAXT16lVKTk4WeVCSLPC3NC5ET6JpXF1dafTo0TR9+nSRdOBMJpNOnTpFHh4eInkRBC6sTz75pN9tCdqbPHkyffrppyJpj81mU3x8PKWkpPTbWPH5fCopKaGwsDCKiop6rRcqXyeqq6vpvffeIwaDQfPnzxeJ++nSpUvEYDBoy5YtIgm6aG5uJldXV5F5GsrKyggAXblyRSTtlZaWkqenJyUlJfX7ejs6Oig+Pp6uXLlCgYGBf2tX8N/WuAgoKSkhZ2dn0tHRoffee4/Kysr61V5NTQ2dOnWKrl+/LpLRxp49e0RW9ygjI4OUlZUpMDCw3221tbVRQkICJScn99uwNDQ0UFxcHIWEhFBeXp7IZlVyek94eDhNnjyZlJWV6Ysvvuh3cuS5c+cIAO3cuVMkBubatWvk7+/f73aI/n/9PlEkG5aVlZGnpyclJib26zr5fD4VFRXR9evXydPTkwoKCv720ZB/e+NC9OSH9ff3JzMzMxozZgydOHGiX4ahqqqKTpw4Qd7e3v3uKBMTEwkARUZG9qsdIqLvvvuOtLW1+z2rEhiW+/fv9+s+dXZ2UlZWFgUHB1NiYqI8Z0XKdHR00MGDB2nQoEE0duxYCggI6Fd7x48fJwD0xRdf9LujTEpKElnO2vz582np0qX9bqe8vJw8PT0pPj6+X9fX0NBAwcHBdOXKFYqLi3stc1ZehX+EcRHQ3NxMX3/9NQ0fPpzmz59PSUlJr9xWRUUFHT9+nHx9ffs16+Dz+aSvr09bt2595TYEmJub0wcffNCvNtrb2ykxMZGSkpL6ZaQqKiooIiKCwsPD6fHjx3/7UdrrRFFRETk4OBCDwSBHR8d+VfB1dXUlAPTtt9/2S6eGhgZydXWlgoKCfrVTXV1NDAaDfv/99361U1lZSdevX6fY2NhXfna7urooNTWVrl69Sjdv3qSqqqp+6fS68Y8yLgLS09PJ3t6edHR0aOfOna/s9ywrK6Njx47RzZs3+2VgduzYQXp6ev1aIM3PzydlZeV+uRY6Ojro3r17lJSU9MpBCy0tLZSUlETBwcGUkZEh1ppOcl4dPp9P169fJz09PVJTU6NffvnllWcNP/30EwGgH3/8sV86XblyhW7fvt2vNk6fPk2KiopUV1f3ym1UV1fT9evXKSYm5pXfyfLycvL19aU//viDMjIyxF7uXxb5RxoXoic5FhcuXKDx48fTpEmTyMPD45VGKKWlpXTs2DEKCAh45Qfx7t27BIDi4+Nf6XwiokOHDpG6uvorR19xOBxKSkqie/fuvZJh4XK5VFBQQCEhIRQTE0MsFuuV9JAjWZqammjHjh2kqKhI5ubmr/wMfvfddwSAfv3111fWJTExkY4fP96vjnjx4sVkZ2f3yufX1taSl5cXRUdHv9L7zGazKSoqiq5cuULh4eH/aFfwP9a4CKipqaGNGzeSjo4OrV69mvLz8/vcxsOHD8nd3Z3u3LnzSg8kl8ul4cOH065du/p8rgBLS0t66623Xunczs5Oun//PiUmJr6SP7i2tpbu3r1LoaGhVFxcLM9ZeQ1JSUmhN954gxgMBn366ad9Hhzw+Xz66quvCAAdO3bslXSoq6sjV1dXKi4ufqXzWSwWKSkp0cmTJ19Zvre3N0VGRvbZwPF4PMrJyaE///yTvL29RV6G53XkH29cBERHR9OsWbNIT0+Pvv/++z7PAIqKisjNzY2CgoJeaQa0ceNGGjt27CudW1JSQsrKyuTl5dXnczs7Oyk5OZkSEhL6fM3t7e2UlpZGwcHBlJycLJJ8IjnSg8vl0okTJ2jYsGGkq6tLly5d6tPzyOfzadeuXQSAzpw580o6XLx4kYKDg1/p3AsXLhCDwXiltQ0Wi0U+Pj4UHh7eZ8NSW1tLt27doqtXr/Y7CObvhNy4PEVHRwcdPnyYRo0aRRYWFhQaGtqn8wsKCsjNzY1CQ0P7bCRCQ0MJwCslabm6utKQIUP6nI0sKJIXHx/fJ8PA5/Pp0aNHwpyVf9pC5d+dyspK2rBhAzEYDFq4cGGfijPy+Xzatm0bAaALFy70WXZcXBydPHnylWa/K1asIGtr6z6fV19fTz4+PhQaGtqn6E8Oh0MJCQl05coVunPnjtwV/BfkxuU5FBcX07p160hHR4c+/PBDqqio6PW5ubm5dPTo0T6XX+ns7CRNTU366quv+qouzZs3jxwdHft0jiCSJT4+vk85D42NjRQfH08hISGUm5srz1n5GxMaGkoTJ06kAQMG0Ndff93rAQifz6fPPvuMGAwGXbt2rU8ya2pqyNXVtc9upaamJhowYAAdOXKkT+c1NjaSr68vhYSE9GnGUVxcTF5eXuTh4UH5+fnyaMjnIDcuL4DP55Ovry+ZmprS2LFj6dSpU73uSLOysujo0aMUFRXVJ5kffvghTZo0qU8PakVFBSkrK9PVq1d7fQ6Xy6W0tDSKi4vr9Wyns7OTsrOzKTg4mBISEqipqanX8uS8vrS3t9OBAwdIRUWFxo0b1+toLh6PRx9++CEpKir22V37+++/U1hYWJ/O+eOPPwhAn+pzNTU10Y0bNyg4OLjXUY2NjY0UEhJCV65coZiYGHn5oh6QG5eX0NTURF988QXp6urSwoULe+22ysjIoKNHj/apMu2tW7cIQJ9KdJw4cYJUVVV7nY3M4/HowYMHFBsb2+tIloqKCoqMjJTnrPyDyc/Pp8WLFxODwaD169dTeXn5S8/hcrn09ttvk5KSUp82M4uOjqbTp0/36TlzcnKiN954o9fHNzc3082bNykwMLBX0ZFdXV2UlpZG165doxs3blBlZWWvZf1TeW33c5EUQ4cOxaFDhxAcHAxFRUUsXboUe/bsQWNjY4/nmZmZYcGCBUhJSUFCQkKvZC1atAhDhw6Ft7d3r/Xz9fWFra1tr7Y+5fP5yM7ORmtrK8zMzDBkyJAej2ez2UhOTkZWVhY0NTVhZWUFfX19+T4r/0AmTpyI4OBg/PHHH4iJiYGxsTGOHj3a4/4uioqKuHjxItauXYv169fjzp07vZJlZGSEtrY2VFRU9Op4NpuNO3fuwMnJqdfHR0VFQVlZGQsXLoSKikqPx1dUVODWrVvIycnBlClTsGLFCowcObJXsv7RSNu6vU5wuVw6d+4cGRoakrGxMXl5eb10dJWcnExHjx6le/fu9UrGhg0byMzMrFfH1tTUkIqKSq+ykXk8HmVmZlJMTAw1Nja+9NjCwkJhzkp/EtLk/P1oaGigrVu3koKCAk2fPp0SExN7PL6zs5NWr15NKioqFBIS8tL2+Xw+nT17ttfrlt7e3gSACgsLX3osm82mgIAAunXr1ktdWmw2m6Kjo+nKlSsUFhYmdwX3EfnMpQ8oKiri//7v/xAfHw8rKyts3rwZTk5OKCoqeuE5M2bMwJw5c5CQkICUlJSXynByckJmZiYKCwtfeqy/vz8AYOXKlT0eR0TIzc1FY2MjpkyZgmHDhr3w2Lq6OsTFxeHRo0cYN24c5s6dCy0trZfqIuefg7q6Oo4dO4bExEQwGAzMnTsXW7ZseeFsXllZGZ6enrCzs8Pq1asRHR3dY/sMBgMTJkxAUVERiOil+vj4+GDq1KmYMGFCj8e1t7cjMjISAGBjY4NBgwY99zgiQl5eHvz9/VFbWwtra2vY2dlh6NChL9VFzv9HblxegREjRuDcuXPw9PREeXk5Fi5ciJ9++umFW7VaWlrC0tISsbGxePDgQY9tOzg4QFVVFT4+Pi/Vw8/PD/Pnz4eOjs4LjxEYlvr6epiYmLzQfcbhcJCeno7U1FQMGjQIc+fOxfjx46GgIH9E5DyfN954A/fu3cORI0dw9epVTJ48GdeuXXuuQVBRUYGPjw+sra2xfPlyxMXF9di2kZERWltbUV1d3eNxHA4Ht27deqlLrKOjA5GRkeDz+bCxsYGqqupzj6urq8OdO3eQnJyMcePGYdWqVRg7dmyPbct5AVKdN/0NaG9vp59++on09PRo5syZPU7lY2Ji6OjRo5SRkdFjm05OTjRz5swej6mvr6dBgwb1mI3M5/MpNzeX7t69+0LXFp/Pp9LSUgoLC6PIyEj5QqWcV6KiooKcnZ2JwWCQnZ0d5eXlPfc4NptNCxcupCFDhvToKubz+XT69GmKjo7uUW5AQMBLg2A6OjooMDCQbt68+cLoSA6HQ/fu3RPWN5O7gvuPfFjaTwYOHIjPP/8cUVFR0NfXh7OzMz755JPnjrisra0xbdo0REREIDs7+4VtOjk5ITk5GaWlpS885tatW+ByuVizZs0LjykoKACTyYSxsfFzXVtNTU1ITExEXl4e9PT0YG1tLV+olPNK6OnpwcPDA3fu3MGjR49gbm6OAwcOPDObV1VVRUBAAKZOnYolS5YgNTX1ue0xGAyMHz++R5cz8MQlNmnSJJiYmDz3+87OTkRFRYHD4cDGxgZqamrPHFNSUgJ/f3+UlJRg5syZWLp0qdwVLAqkbd3+TvD5fPLy8iJjY2MyNDSks2fPPreUREREBB09evSFO+8JEsJcXV1fKGvNmjU0f/78F35fUFBA0dHRVFNT88x3XV1dlJOTQ8HBwRQfH//SBX45cvpCW1sb7du3jwYMGEATJkx47i6wTU1NZGlpSZqampSenv7cdh49ekSurq7PfYaJngQKaGhovDDxuLOzk4KDg8nPz++5z3hTUxOFhobSlStX6O7du/LyRSJGblzEQENDA+3evZt0dXXJzs6OUlNTu33P5/MpNDSU3NzcXlgoc+XKlWRlZfXc75qbm0lNTY2OHj363O8LCwspOjr6uVsJV1ZWCnNWSktL5TkrcsRGbm4u2draEoPBIBcXl2cqXdTX19P06dNJR0eHsrOznzmfx+PRyZMnKS4u7rnth4SEEIBn3i+iJwOo0NBQ8vX1fSYHjMvl0oMHD+jatWvk5+fXpwoccnqP3C0mBtTV1fHzzz/jzp074PF4cHBwwBdffIHm5mYAT6b8dnZ2mDRpEoKCglBcXPxMG05OToiPj0dVVdUz3wUGBoLD4WDt2rXPfPfw4UNUVlbCyMgIw4cPF37e1taG5ORkZGZmQkNDA1ZWVhgzZow8Z0WO2Jg8eTLCwsJw+fJlREREwMTEBMePHwePxwMAaGhoIDQ0FCNGjICdnR0KCgq6na+goIDx48e/MHLSx8cHhoaGmDZtWrfPuVwuoqOj0dzcjIULF3YLYqmqqsKtW7eQnZ0NU1NTrFy5Enp6eiK9bjlPkBsXMTJjxgyEhobiP//5Dzw9PTF37lz4+vqCiMBgMLB48WIYGRnhzp07KCkp6XbuqlWroKioCD8/v2fa9fX1xYwZMzBmzJhun5eUlKC8vBwTJkwQrp3w+XwUFxcjPj4e7e3tsLCwgLm5+UsTx+TIEQUMBgPvvPMO8vLy8NZbb2HHjh2YPXs2kpOTAQBaWloICwuDpqYmbG1t8fDhw27nT5gwAfX19WCxWN0+5/F48PPzg5OTU7cBEo/HQ2xsLBobG7FgwQJoaGgAeBKGHBMTg/DwcKiqqmLFihUwNzeHoqKimO/APxe5cREzSkpK+OyzzxAXFwdLS0ts3LgR69evx8OHD6GgoIAlS5bA0NAQt2/fxuPHj4XnaWhowNbW9pmQ5La2NgQFBT0zayktLUVZWRnGjx8vHImxWCzEx8fj4cOHGDt2LKysrKCtrS3+i5Yj5y9oaGjg1KlTiIuLA5fLxaxZs7B9+3Y0NTVBV1cXYWFhUFVVha2tbbdAFgMDAwwYMOCZhf24uDjU1tZ2C0EWGJa6ujosWLAAWlpaICLk5+fD398fNTU1sLKywuLFi+U5KxJAblwkhJ6eHs6fP48//vgDJSUlmD9/Pn7++Wd0dXVh6dKlGDNmDPz9/VFWViY8x8nJCdHR0airqxN+Fhoaira2Njg6Ogo/KysrQ2lpKQwNDTFq1ChwOBxkZGQgJSUFAwcOxNy5czFhwgR5zoocqTN79mzcv38fv/zyCy5cuABjY2N4eHhgxIgRiIiIgKKiImxtbYWlXxQVFWFoaPiMa8zHxwejRo2CpaUlgCcz9Pj4eDCZTMybNw/a2tpgsVgIDAzE/fv3MXbsWKxatQqGhoYSv+Z/KvLeRsIsWrQIsbGx2Lx5M44ePYoFCxYgLi4Oy5cvx6hRo+Dv7y98sdasWQMiws2bN4Xn+/r6YsqUKcJs5PLycpSUlMDAwACjR4/G48ePERcXh/r6ekyZMgUzZ87E4MGDpXKtcuQ8DyUlJezcuRM5OTmYO3cuNmzYAAcHB7S3tyMiIgJcLhe2trbC9UYjIyMwmUxhBQA+nw9fX184OjpCQUEBfD4fCQkJqK6uhrW1NTQ1NXH//n0EBgaCiLBkyRLMmjULAwYMkOJV//OQGxcpMGjQIHz11VeIiIjA8OHDsW7dOmzZsgWzZs3CyJEjcfPmTVRXV0NXVxfz5s2Dj48PWCwWsrOzcevWLaFLrLKyEg8fPsSYMWOgoaGBe/fuIS8vDyNGjICVlZV8oVKOTKOvrw9vb28EBASgsLAQU6dOxaVLlxAYGAg2m41FixaByWRi7NixUFJSQlFREVgsFnx9fVFeXg4nJycQEe7du4fKykpYWVmho6MD/v7+KC4uxowZM7Bs2bIeK1jIER8Mol4U75EjNogI169fx7fffgsul4vPP/8cw4YNQ319PRwdHfHtt9/izJkz3UpqCPzVo0ePxogRI8Dn81FWVgY1NTUYGxv3qkKyHDmyRFtbG3744Qf8/PPPGDduHL788kt88cUX0NXVRUREBI4dOwZvb+9uycc2NjZYtWoV9PT0MHXqVFRUVKCqqgpjxozBzJkzX1jiRY5kkBsXGaGhoQHff/89rly5AnNzcyxevBjx8fHdXGICGAwGiAibNm2Cs7MzuFwuJkyYIA8tlvPak52djc2bNyMmJgbLly9HQkICVFRUUFlZKXzuBQhcYh999BEWLVqEgQMHwtLSEqNGjZLiFcgRIDcuMkZSUhL27NmDjIyMl+4ZAwDHjx/Hxx9/jIEDB4pfOTlyJAAR4dKlS9i7dy9aW1vR3t7+0nOOHTuGjRs3QklJSQIayukNcuMig3R1dWHKlCnPJJX9FQUFBdja2iI0NFRCmsmRIzlYLBamTp2KysrKHo+Tvweyidy4yCAsFqtP+Sh1dXXyQnty/nbI34PXG3m0mAzS0NAg1uPlyHkdkL8Hrzdy4yKDCEpWiOt4OXJeB+TvweuN3LjIIFpaWrCzs3tp3SNFRUUsWrRI7gqQ87dE/h683siNi4yye/duYfXYF8Hj8bBr1y4JaSRHjuSRvwevL3LjIqM4ODjgxx9/BIBnRm6Cfx86dAgODg4S102OHEkhfw9eX+TRYjJOUFAQfv31V4SFhQk/W7RoEXbt2iV/oeT8Y5C/B68fcuPymsBisdDQ0AANDQ25b1nOPxb5e/D6IDcucuTIkSNH5MjXXOTIkSNHjsiRGxc5cuTIkSNy5MZFjhw5cuSIHLlxkSNHjhw5IkduXOTIkSNHjsiRGxc5cuTIkSNy5MZFjhw5cuSIHLlxkSNHjhw5IkduXOTIkSNHjsiRGxc5cuTIkSNy5MZFjhw5cuSIHLlxkSNHjhw5IkduXOTIkSNHjsiRGxc5cuTIkSNy5MZFjhw5cuSIHLlxkSNHjhw5IkduXOTIkSNHjsj5f5PI/uTnJpNGAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 500x800 with 115 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,[2,2],[1,3],[3,2],[1,1]], mult_arity=2, device=device)\n",
    "model(x)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "79f8150d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
